How do you solve 6 - 3|2x + 6| = 0?

1 Answer
Daniel L.
Jul 16, 2016

This equation has 2 solutions: -4 and -2

Explanation:

We start from the equation:

6-3|2x+6|=0

First we move number 6 on the right side:

-3|2x+6|=-6

Now we can divide both sides by -3:

|2x+6|=2

Now we can change the equation with absolute value to 2 equations without absolute value. To do this we use the definition of absolute value:

|x|={(x,x>=0),(-x,x<0):}

Using this definition we can write that:

2x+6=2 vv 2x+6=-2

Now we have to solve the two equations to get the final answer:

2x=-4 vv 2x=-8

x=-2 vv x=-4

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