How To Solve an Absolute Value Equation and Test Our Solutions when They Do Not Work

The video tutorial explains how to solve absolute value equations by setting up two cases: one where the absolute value is positive and another where it is negative. The process involves isolating the absolute value, creating cases, solving them, and testing the solutions. The tutorial concludes by explaining that if the solutions result in a negative value for an absolute value equation, there is no solution.

Why is it important to test the solutions obtained from solving absolute value equations?

What conclusion can be drawn if both solutions lead to negative values in an absolute value equation?