Question 983454: |15+m|=-2m+3
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! |15+m|=-2m+3
First solution is without the brackets
15+m=-2m+3
3m=-12
m=-4
|11|=11
For the second, -2m+3 cannot be negative, because the absolute value can't be negative. -2m+3 can equal 0, where m=3/2, but that is no solution.
If you try to make the right side negative, the way absolute value problems do,
you find you get m=18. That makes the left side abs(33), but the right side is -33, and the absolute value can never be less than 0.
Typically, teachers often throw in absolute value problems as equaling something less than zero. You can do the algebra, but if you recognize the absolute value can never be less than zero, you write no solution. The problem above is fine for m=-4.
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