Answer:
x = -5,-1
Step-by-step explanation:
6=3(x+3)^2-6
Add 6 to each side
6+6=3(x+3)^2-6+6
12 =3(x+3)^2
Divide each side by 3
12/3 = 3/3(x+3)^2
4 = (x+3)^2
Take the square root of each side
sqrt(4) = sqrt((x+3)^2)
±2 = x+3
Separate into 2 equations
2 = x+3 -2 = x+3
Subtract 3 from each side
2-3 =x+3-3 -2-3 = x+3-3
-1 =x -5 =x
