Answer:
x = -2 ±sqrt(468.5)
Explanation:
2(x+2)^2 - 5=932
Add 5 to each side
2(x+2)^2 - 5+5=932+5
2(x+2)^2 =937
Divide each side by 2
2/2(x+2)^2 =937/2
(x+2)^2 = 468.5
Take the square root of each side
sqrt((x+2)^2) = ±sqrt(468.5)
x+2 = ±sqrt(468.5)
Subtract 2 from each side
x+2-2 = -2 ±sqrt(468.5)
x = -2 ±sqrt(468.5)