How do you solve 10−|x+2|=12?

1 Answer
Daniel L.
Aug 22, 2016

This equation has no solutions. See explanation for details.

Explanation:

To solve this equation first we have to move 10 to the right side to leave absolute value alone on the left side.

10−|x+2|=12

−|x+2|=2

Now we can multiply both sides by −1 to get rid of minus sign in front of absolute value.

|x+2|=−2

This equation has no solurions because absolute value of an expression cannot be negative. Hence the original equation does not have any solutions also.

Related questions
See all questions in Absolute Value Equations
Impact of this question
1396 views around the world
You can reuse this answer
Creative Commons License