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: