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

##### 1 Answer

Jul 16, 2016

This equation has 2 solutions:

#### Explanation:

We start from the equation:

#6-3|2x+6|=0#

First we move number

#-3|2x+6|=-6#

Now we can divide both sides by

#|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: