How do you solve \frac { 1} { 2} ( 2x + 4) ^ { 2} = 12?

1 Answer
Jun 25, 2017

x=-2+-sqrt6

Explanation:

1/2(2x+4)^2=12

First, start off by dividing 1/2 on both sides.

(2x+4)^2=24

Next, place a radical on both sides to cancel out the exponent.

sqrt((2x+4)^2)=sqrt24

2x+4=sqrt24

Simplify sqrt24 and factor 2x+4 so you can cancel out common factors. Don't forget to add the +-!

2(x+2)=+-2sqrt6

x+2=+-sqrt6

The last step is to subtract 2 on both sides.

x=-2+-sqrt6