Solve for x: −3|2x + 6| = −12

Mathematics

1 answer:

spayn [35]4 years ago

8 0

Start with

$-3|2x+6|=-12$

Divide both sides by -3

$|2x+6|=4$

If the absolute value of a number is 4, that number can either be 4 or -4: we have the two solutions

$2x+6=4 \iff 2x=-2 \iff x=-1$

$2x+6=-4 \iff 2x=-10 \iff x=-5$

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