2024 How to solve absolute value equations - To solve these systems, follow the 3 steps: 1. Subtract the absolute value equations from one another, to identify one common variable. 2. Substitute the variable and solve for the absolute value ...

 
Simplify first to separate the absolute value from the rest of the numbers. Check the answers; the work! This one’s a little trickier, since it’s not linear. After simplifying, separate the absolute value equations into two; 8 positive, and 8 negative. For the second case, use the quadratic formula to get the roots: .. How to solve absolute value equations

To solve inequalities with absolute values, use a number line to see how far the absolute value is from zero. Split into two cases: when it is positive or ...Sep 11, 2021 · 6.2: Solving Absolute Value Equations. To solve absolute value equations, first consider the following two properties of absolute value: Property 1: For b > 0 b > 0, |a| = b | a | = b if and only if a = b a = b or a = −b a = − b. Property 2: For any real numbers a a and b b, |a| = |b| | a | = | b | if and only if a = b a = b or a = −b a ... Do not make the common mistake of just turning every minus sign inside the absolute value bars into a plus sign. That is just not how these work. The only way for the value of the absolute value to be 3 is for the quantity inside to be either -3 or 3. In other words, we get rid of the absolute value bars by using the formula from the notes ...Need to know how to solve an absolute value equation like this one? ... Case One: The value is positive. Drop the absolute value and solve! ... Solve to find that x ...Learn how to solve absolute value equations in this step by step video. If you want to see all my videos check out my channel page http://YouTube.com/MathMee...An Absolute Value Calculator is an online tool that can solve mathematical equations involving absolute values. The calculator takes the equation as its input. The calculator solves the equation by providing the graph, integer values of the solution, and their number line representation.Oct 15, 2020 · How to Solve an Absolute Value Equation with Absolute Values on Both SidesIf you enjoyed this video please consider liking, sharing, and subscribing.Udemy Co... This video explains how to solve absolute value equations graphically on the TI84 graphing calculator.Complete Library: http://www.mathispower4u.comSearch b...Isolate the absolute value expression on one side of the equal sign. If [Math Processing Error] c > 0, write and solve two equations: [Math Processing Error] a x + b = c and [Math Processing Error] a x + b = − c. In the next video, we show examples of solving a simple absolute value equation. Ex 2: Solving Absolute Value Equations. Sep 3, 2014 · Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute v... Aug 28, 2015 · Lean how to solve absolute value equations. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and th... Learn how to solve absolute value equations and inequalities using various methods, such as shifting, scaling, and reflecting. See examples, practice questions, and graphs of …To solve an absolute value equation, we first isolate the absolute value expression using the same procedures we used to solve linear equations. Once we isolate the absolute value expression we rewrite it as the two equivalent equations. Example 2.69. How to Solve Absolute Value Equations.solving Abs(x - 5) when the argument is not real or imaginary But, at the beginning of my session I wrote down that x, y, z = symbols('x, y, z', RealNumber = True)When solving equations with absolute value, the solution may result in more than one possible answer because, recall, absolute value is just distance from …Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute v...The result of absolute value is always positive. It won’t be negative. Solving Absolute Value Equations. Absolute Value Equations are equations where the variable is between absolute value operators. Example: |x-2| = 0. Solving absolute value equations can be explained better by taking an example and solving those to get a …2 Jan 2021 ... Solving an Absolute Value Inequality · Find boundary points by solving |x−A|=B. · Test intervals created by the boundary points to determine ...Apr 16, 2020 · Learn how to solve absolute value equations and functions in 3 easy steps with examples, a step-by-step tutorial and an animated video. Find out why absolute value is always positive and how to check your answers. But since this is an absolute value equation, there's another possibility to consider. In the equation above, the absolute value of "something" (3 + x ) equals 9. Sure, the absolute value of positive 9 equals 9, but there's another option here too! The absolute value of −9 also equals 9. So the unknown "something" could also equal −9.The result of absolute value is always positive. It won’t be negative. Solving Absolute Value Equations. Absolute Value Equations are equations where the variable is between absolute value operators. Example: |x-2| = 0. Solving absolute value equations can be explained better by taking an example and solving those to get a …Learn how to solve absolute value equations with examples and practice problems. The key point is to separate the positive and negative components of the equation and use the standard procedure for linear equations. See how to handle cases with expressions on both sides and negative numbers. solving Abs(x - 5) when the argument is not real or imaginary But, at the beginning of my session I wrote down that x, y, z = symbols('x, y, z', RealNumber = True)A step-by-step guide to solving absolute value equations. To solve an absolute value equation, follow four steps: Step 1: Isolate the absolute value expression. Step 2: set its contents equal to both the positive and negative value of the number on the other side of the equation. Step 3: Solve both equations. Step 4: Check the solutions. solution. Look at the equation. ... Since 2w can be either positive or negative, split the equation into two cases. ... First, solve the positive case. ... Next, ...Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the abso... Solving an Absolute Value Equation. Now that we can graph an absolute value function, we will learn how to solve an absolute value equation. To solve an equation such as \(8=|2x−6|\), we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8. This leads to two different equations we …Example 1. Solve the equation for x: |3 + x| − 5 = 4. Solution. Isolate the absolute value expression by applying the Law of equations. This means, we add 5 to both sides of the equation to obtain; | 3 + x | − 5 + 5 = 4 + 5. | 3 + x |= 9. Calculate for the positive version of the equation. Lean how to solve absolute value equations. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and th...Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the abso...Learn how to solve absolute value equations and functions in 3 easy steps with examples, a step-by-step tutorial and an animated video. Find out why absolute …In this lesson, we want to discuss how to solve advanced absolute value equations. Up to this point, we have seen absolute value equations that can be solved pretty easily. In most cases, we just needed to isolate the absolute value operation and set up a compound equation with "or". We then solve the two resulting equations and have our answer.Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute v...An Absolute Value Calculator is an online tool that can solve mathematical equations involving absolute values. The calculator takes the equation as its input. The calculator solves the equation by providing the graph, integer values of the solution, and their number line representation.The four steps for solving an equation include the combination of like terms, the isolation of terms containing variables, the isolation of the variable and the substitution of the...Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...More learning resources from IXL. Video tutorials. Private tutoring. Teacher-created activities. Games. Interactive worksheets. Workbooks. Absolute value equations contain a variable expression within absolute value symbols. Learn how to solve absolute value equations in this free algebra lesson.In this lesson, we learn that when solving an absolute value equation, the first step is to isolate the absolute value. The next step is to split the equation up into two separate equations (one positive and the other …Photomath is a revolutionary mobile app that has transformed the way students approach math homework. With its advanced technology, this app allows users to solve math problems sim...Jan 31, 2023 · x = 1 {\displaystyle x=1} 3. Set up the equation for the negative value. To set up the negative equation, rewrite the equation without the absolute value bars, and take the negative value of the number on the other side of the equation. For example, the negative equation for. | 6 x − 2 | = 4 {\displaystyle |6x-2|=4} Now that we can graph an absolute value function, we will learn how to solve an absolute value equation. To solve an equation such as {8}=\left| {2}x - {6}\right| 8 = ∣2x −6∣, we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8. This leads to two different equations we can solve ... Nov 28, 2019 · http://www.greenemath.com/http://www.facebook.com/mathematicsbyjgreeneIn this lesson, we learn how to apply our rule for solving absolute value equations: |u... Solving absolute value equations is easy, but it can get tricky if you're faced with an equation that uses more than one value. Keep the following tips in mind: Use algebra to isolate the absolute value, so it is the only …To solve an absolute value equation, we first isolate the absolute value expression using the same procedures we used to solve linear equations. Once we isolate ...To solve an equation such as \(8=|2x−6|\), we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8. This leads to two different equations we can solve independently.http://www.greenemath.com/Here, we will learn all about absolute value and how to solve absolute value equations. We will cover the concept of absolute value...11 Sept 2012 ... Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number.Solving Absolute Value Equations with No Solution ... Since the absolute value of a number is always non-negative (0 or positive), the result here is no solution.27 Dec 2023 ... Solve absolute value equations by isolating the absolute value expression and then use both positive and negative answers to solve for the ...This video walks through an example of solving an absolute value equation that contains two absolute value expressions.For more math help and resources, visi...Apr 16, 2020 · Learn how to solve absolute value equations and functions in 3 easy steps with examples, a step-by-step tutorial and an animated video. Find out why absolute value is always positive and how to check your answers. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...Learn how to solve equations with absolute values no both sides of the equationAug 13, 2020 · The absolute value of a number is its distance from zero on the number line. We started with the inequality |x| ≤ 5. We saw that the numbers whose distance is less than or equal to five from zero on the number line were −5 and 5 and all the numbers between −5 and 5 (Figure 19.3.4 ). Figure 19.3.4. An equation that equates two absolute value functions allows us to choose one of the absolute value functions and treat it as the constant. We then separate the equation into the "positive" version, , and the "negative" version,. Solving each equation, we obtain the solutions, and , respectively. But when you take the Absolute Value of a variable, you must account for both positive and negative direction. For example, if we had |x|=5 that means we are either a distance of 5 units to the right of …TabletClass Math:https://tcmathacademy.com/ How to solve absolute value equations. For more math help to include math lessons, practice problems and math tu...48K views 2 years ago. This math video tutorial explains how to solve absolute value equations with variables on both sides. It contains plenty of examples and practice problems.S...... Solving Absolute Value Equations & Inequalities Essential Question: What is the process needed to solve absolute value equations and inequalities? Home ...Solve an absolute value equation. Now that we can graph an absolute value function, we will learn how to solve an absolute value equation. To solve an equation such as [latex]{8}=\left|{2}x - {6}\right|[/latex], we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8. This leads to two different ...For example, should you want to solve the equation \(|2x − 4| = 6\), you could divide both sides by 2 and apply the quotient property of absolute values. Distance Revisited Recall that for any real number x, the absolute value of x is defined as the distance between the real number x and the origin on the real line. Learn how to solve absolute value equations with examples and practice problems. The key point is to separate the positive and negative …So it's 4 times the absolute value of x plus 10 plus 4 is equal to 6 times the absolute value of x plus 10 plus 10. And at first, this looks really daunting, but the key is to just solve for this absolute value expression and then go from there. Let me just rewrite it so that the absolute value expression really jumps out.Absolute Value Equation Calculator. This absolute equation calculator will help you solve and graph absolute value equations. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.Lesson 1: Solving absolute value equations. Intro to absolute value equations and graphs. Solving absolute value equations. Absolute value equations. Worked example: absolute value equation with two solutions. Worked example: absolute value equations with one solution. Worked example: absolute value equations with no solution.Omitting the absolute value, we have bx + c = (e - d)/a or bx + c = - (e - d)/a. It now suffices to calculate x for each equation. Finally, x = (e - d)/ (a * b) - c/b or x = (d - …Lesson 2: Solving absolute value equations. Intro to absolute value equations and graphs. Worked example: absolute value equation with two solutions. Whether you love math or suffer through every single problem, there are plenty of resources to help you solve math equations. Skip the tutor and log on to load these awesome websit...When solving absolute value equations, we need to consider when the expression inside the absolute value bars is positive and when it is negative. Let’s look at a few examples. \(4|x|=24\) So we want to solve this for \(x\). We’re going to start by dividing both sides of the equation by 4.27 Dec 2023 ... Solve absolute value equations by isolating the absolute value expression and then use both positive and negative answers to solve for the ...There are two ways to define absolute value. There is a geometric definition and a mathematical definition. We will look at both. Geometric Definition In this definition …From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman …For most absolute value equations, you will write two different equations to solve. The value inside of the absolute value can be positive or negative. If the answer to an absolute value equation is negative, then the answer is the empty set. No absolute value can be a negative number. Home.An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.Jan 6, 2012 · Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute v... Dec 16, 2019 · To solve an absolute value equation, we first isolate the absolute value expression using the same procedures we used to solve linear equations. Once we isolate the absolute value expression we rewrite it as the two equivalent equations. How to Solve an Absolute Value Equation with Absolute Values on Both SidesIf you enjoyed this video please consider liking, sharing, and subscribing.Udemy Co...An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤. a. If the value of x was non-negative (that is, if it was positive or zero) to start with, then I can bring that value out of the absolute-value bars without ...Absolute Value Equation Solver Shows Work, Steps for | AX +C | = D. Worksheet on Abs Val Equations. Abs Val Lesson. Absolute Value Equations Solver. Enter any values and this solver will calculate the solution(s) for your equation and show all work, including checking for extraneous solutions!More learning resources from IXL. Video tutorials. Private tutoring. Teacher-created activities. Games. Interactive worksheets. Workbooks. Absolute value equations contain a variable expression within absolute value symbols. Learn how to solve absolute value equations in this free algebra lesson. Aug 28, 2015 · Lean how to solve absolute value equations. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and th... An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.Solving absolute value inequalities: no solution. Absolute value inequalities word problem. Math > Algebra (all content) > ... So that's the first equation. And then the second question-- and do the same thing here-- we have 2r minus 13 …How to solve absolute value equations

Solving an Absolute Value Equation. Now that we can graph an absolute value function, we will learn how to solve an absolute value equation. To solve an equation such as \(8=|2x−6|\), we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8.. How to solve absolute value equations

how to solve absolute value equations

Sep 11, 2021 · 6.2: Solving Absolute Value Equations. To solve absolute value equations, first consider the following two properties of absolute value: Property 1: For b > 0 b > 0, |a| = b | a | = b if and only if a = b a = b or a = −b a = − b. Property 2: For any real numbers a a and b b, |a| = |b| | a | = | b | if and only if a = b a = b or a = −b a ... The absolute value of a number is its distance from zero on the number line. We started with the inequality |x| ≤ 5. We saw that the numbers whose distance is less than or equal to five from zero on the number line were −5 and 5 and all the numbers between −5 and 5 (Figure 19.3.4 ). Figure 19.3.4.Step 3: Solve each equation. Notice above, the two answers are x = 3 and x = −8. If you are curious as to why I changed the sign of the number on the right instead of the quantity on the left, it was simply to make things easier. In effect, it is the same as dividing both sides by −1. For an additional challenge, try solving absolute value ...But when you take the Absolute Value of a variable, you must account for both positive and negative direction. For example, if we had |x|=5 that means we are either a distance of 5 units to the right of …This video walks through an example of solving an absolute value equation that contains two absolute value expressions.For more math help and resources, visi...But these equations can have many more than just one expression in absolute-value bars, and the bars may contain expressions more complicated than mere straight lines. We'll start with a quadratic expression as the argument (that is, as the expression inside the absolute-value bars). Solve | x 2 − 4x − 5 | = 73 x x + 2 = 2. To solve the equation above, we first. multiply/divide. both sides of the equation by x + 2 , then solve the resulting. linear/quadratic. equation. Because the denominator of the rational expression is x + 2 , the only value of x that would lead to division by 0 is . Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the abso...http://www.greenemath.com/http://www.facebook.com/mathematicsbyjgreeneIn this lesson, we learn how to apply our rule for solving absolute …Learn how to solve absolute value equations in this free math video tutorial by Mario's Math Tutoring. We discuss how to rewrite an absolute value equation ...2 Jan 2021 ... Solving an Absolute Value Inequality · Find boundary points by solving |x−A|=B. · Test intervals created by the boundary points to determine ...But since this is an absolute value equation, there's another possibility to consider. In the equation above, the absolute value of "something" (3 + x ) equals 9. Sure, the absolute value of positive 9 equals 9, but there's another option here too! The absolute value of −9 also equals 9. So the unknown "something" could also equal −9.Now for some absolute value equations. The general steps for solving an absolute value equation are: Isolate the absolute value expression. Solve the positive "version" of the equation. Solve the negative "version" of the equation by multiplying the quantity on the other side of the equals sign by −1.Are you tired of spending hours trying to solve complex equations manually? Look no further. The HP 50g calculator is here to make your life easier with its powerful Equation Libra...STEP 1: Express the Absolute Value as a Piecewise Function. Before we solve the equation, it is very important to recognize the tricky difference that occurs when solving absolute value equations – we can't just consider the positive value. Because we are solving the equation, we don't know the value x.Intermediate algebra is a high school level mathematics subject meant to prepare the student for college level algebra. Some of the specific concepts taught are the quadratic formu...1. The same process will find the "possible solutions", namely for each absolute value |u| | u | in the equation, replace it by the two choices u, −u. u, − u. The more absolute values originally there, the more such equations will come this way. [some power of 2 "possible equations".] However once each possible equation is solved one must ...Whether you love math or suffer through every single problem, there are plenty of resources to help you solve math equations. Skip the tutor and log on to load these awesome websit...Notice this equation has two solutions. TLW solve equations in one variable that contain absolute- value expressions. TLW solve absolute-value equations, ...Steps for Solving Linear Absolute Value Equations : i.e. + = 1. Isolate the absolute value. 2. Identify what the isolated absolute value is set equal to… a. If the absolute value is set equal to zero , remove absolute value symbols & solve the equation to get one solution . b. If the absolute value is set equal to a negative number, there is ... Solving absolute value equations is easy, but it can get tricky if you're faced with an equation that uses more than one value. Keep the following tips in mind: Use algebra to isolate the absolute value, so it is the only …Learn how to solve absolute value equations and inequalities using various methods, such as shifting, scaling, and reflecting. See examples, practice questions, and graphs of …Absolute Value Equations. Recall that the absolute value 63 of a real number \(a\), denoted \(|a|\), is defined as the distance between zero (the origin) and the graph of that real number on the number line. For example, \(|−3|=3\) and \(|3|=3\). Figure \(\PageIndex{1}\) In addition, the absolute value of a real number can be defined …Oct 8, 2017 · This algebra video tutorial provides a basic introduction into absolute value equations. it explains how to solve absolute value equations the easy way. It... Nov 29, 2019 · http://www.greenemath.com/In this lesson, we will learn how to solve more advanced absolute value equations. We will begin by learning how to solve a nested ... An absolute value equation is an equation that contains an absolute value expression. You can solve these types of equations by solving two related linear ...Visit us online at: https://www.eliteivytutors.comOr call us at: (917) 924-4176Omitting the absolute value, we have bx + c = (e - d)/a or bx + c = - (e - d)/a. It now suffices to calculate x for each equation. Finally, x = (e - d)/ (a * b) - c/b or x = (d - …To solve absolute value equations, write the equation with a positive and a negative value of k, drop the absolute value symbols, and solve each equation for x. Finally, check each solution to see ...Now for some absolute value equations. The general steps for solving an absolute value equation are: Isolate the absolute value expression. Solve the positive "version" of the equation. Solve the negative "version" of the equation by multiplying the quantity on the other side of the equals sign by −1.Now for some absolute value equations. The general steps for solving an absolute value equation are: Isolate the absolute value expression. Solve the positive "version" of the equation. Solve the negative "version" of the equation by multiplying the quantity on the other side of the equals sign by −1.To solve an equation such as \(8=|2x−6|\), we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8. This leads to two different equations we can solve independently.Absolute value equations, functions, & inequalities > Solving absolute value inequalities ... One way to solve this problem would be to start by rewriting is as 9 < |4x - 5| and |4x - 5| < 23. ... two statements are saying. x has to be less than 2 and 1/2, and it has to be greater than negative 2 and 1/2. If this absolute value were the other ...Jul 24, 2023 · This page titled 1.2: Solving Absolute Value Equations is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the abso...Absolute Value means ..... how far a number is from zero: "6" is 6 away from zero, and "−6" is also 6 away from zero. So the absolute value of 6 is 6, and the absolute value of −6 is also 6 . Absolute Value Symbol. To show we want the absolute value we put "|" marks either side (called "bars"), like these examples: Nov 21, 2023 · To solve absolute value equations, write the equation with a positive and a negative value of k, drop the absolute value symbols, and solve each equation for x. Finally, check each solution to see ... Mar 8, 2019 ... This SAT math video tutorial focuses on solving absolute value equations. SAT Math Part 11 - Patreon: https://bit.ly/3G0S1No SAT Math Part ...And the absolute value of 33 is just 33. Or you could've done it the other way around. Since we're taking absolute value, it doesn't matter what we subtract from the other ones. You could do on 1881 minus 1914, and you would've gotten negative 33. But the absolute value of either of these numbers is, you're saying, how far is 33 or negative 33 ...30 Sept 2020 ... Summary · Use algebra to isolate the absolute value, so it is the only thing on the right side of the equation. · Write two separate equations, ...Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute v...Learn how to solve absolute value equations in this step by step video. If you want to see all my videos check out my channel page http://YouTube.com/MathMee...For most absolute value equations, you will write two different equations to solve. The value inside of the absolute value can be positive or negative. If the answer to an absolute value equation is negative, then the answer is the empty set. No absolute value can be a negative number. Home.Aug 28, 2015 · Lean how to solve absolute value equations. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and th... Now that we can graph an absolute value function, we will learn how to solve an absolute value equation. To solve an equation such as 8 = | 2 x − 6 |, 8 = | 2 x − 6 |, we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8. This leads to two different equations we can solve independently. Example Problem 1: Solving Absolute Value Equations · Step 1: Consider the positive and negative result of the absolute value · Step 2: Solve both equations.The procedure to use the absolute value equations calculator is as follows: Step 1: Enter the equation in the input field. Step 2: Now click the button “Evaluate” to get the result. Step 3: Finally, the absolute value equations will be displayed in the new window.Example 1. Solve the equation for x: |3 + x| − 5 = 4. Solution. Isolate the absolute value expression by applying the Law of equations. This means, we add 5 to both sides of the equation to obtain; | 3 + x | − 5 + 5 = 4 + 5. | 3 + x |= 9. Calculate for the positive version of the equation. 3 x x + 2 = 2. To solve the equation above, we first. multiply/divide. both sides of the equation by x + 2 , then solve the resulting. linear/quadratic. equation. Because the denominator of the rational expression is x + 2 , the only value of x that would lead to division by 0 is .To solve inequalities with absolute values, use a number line to see how far the absolute value is from zero. Split into two cases: when it is positive or negative. Solve each case with algebra. The answer is both cases together, in intervals or words. Created by Sal Khan and CK-12 Foundation. . Car gurus.com used cars