4(x+5)^2-8=88
Add 8 to each side
4(x+5)^2-8+8=88+8
4(x+5)^2=96
Divide each side by 4
4/4(x+5)^2=96/4
(x+5)^2=24
Take the square root of each side
sqrt((x+5)^2)= ± sqrt(24)
x+5 = ± sqrt(4*6)
x+5 = ± sqrt(4)sqrt(6)
x+5 = ± 2sqrt(6)
Subtract 5 from each side
x+5-5 = -5 ± 2sqrt(6)
x = -5 ± 2sqrt(6)