Join Karin Hutchinson for an indepth discussion in this video Exploring absolute value equations that have no solutions, part of Learning Algebra: Solving Equations.
 In this lesson we're going to take a look…at another example of an Absolute Value Equation.…What if I asked you to solve this equation?…We have the absolute value of x equals 4.…Is there a number that we could substitute for x…and have an answer of 4?…Could we substitute 4?…Hopefully, you said no.…Because the absolute value of 4…is never going to be equal to 4.…Remember that absolute value…can never be negative.…
Absolute value is a distance…and therefore we said it always had to be a positive number.…So this answer to this equation is the empty set.…There is no solution.…There's no number that has an absolute value of 4.…So I want you to keep that in mind…as we solve another absolute value equation.…This equation has an answer that is positive,…so it looks like we should be able to solve this equation.…Now remember that your first job…is to isolate the absolute value…on one side of the equation.…
So before we can even think about solving,…we need to get…this absolute value expression by itself.…So we're going to do this the exact same way.…
Author
Karin HutchinsonReleased
10/19/2015 Isolating variables
 Keeping equations balanced
 Solving addition and subtraction equations
 Solving multiplication and division equations
 Solving equations that involve the distributive property
 Solving twostep and multistep equations
 Solving equations with decimals and fractions
 Solving equations with variables on both sides
 Understanding literal equations
 Solving absolute value equations
Skill Level Appropriate for all
Duration
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Introduction

Welcome1m 4s


1. Introduction to Solving Equations

Keeping equations balanced1m 30s

2. Addition Equations

3. Subtraction Equations

4. Multiplication Equations

5. Division Equations

6. TwoStep Equations

Solving a twostep equation1m 56s

7. Solving Multistep Equations with the Distributive Property

8. Solving Equations with Decimals

9. Solving Equations with Fractions

10. Solving Literal Equations

11. Equations with Variables on Both Sides

12. Solving Multistep Equations

13. Solving Absolute Value Equations

Conclusion

Next steps37s

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Video: Exploring absolute value equations that have no solutions