Solving a multi step absolute value equation

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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 absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value problem, we first isolate the absolute value term and then separate the equation into two cases: the positive case and the negative case. After which we solve the equation accordingly.

It is very important to substitute the result obtained into the original equation to make sure that each of the solutions satisfy the original equation. Any solution that satisfies the original equation is called a valid solution while any solution that does not satisfy the original equation is called an extraneous solution.

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you are so welcome, glad I could help!

brianmclogan
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yes, if you search my channel all my recent videos on absolute value equations I check the solutions

brianmclogan
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Thanks for helping! You clarified so much for me.

chestbutt
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divide by 2 on both sides to isolate the absolute value

brianmclogan
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it's okay, I am here to help, let me know if I can help you out in any way!

brianmclogan
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can we see a video where we check the solutions. i have checked the solutions and can't seem to get a true statement after checking them.

enspun
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x=-1 is a extraneous solution.Please check b/c 2x-2>0 results in x>1.

XTSK