Question

Solve for x: −3|2x + 6| = −12

x = 1 and x = 5


x = −1 and x = −5


x = −9 and x = 3


No solution

Answer 1

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`