Answer:
x = -3 ± sqrt(7)
Step-by-step explanation:
-2(x+3)^2+10=-4
Subtract 10 from each side
-2(x+3)^2+10-10=-4-10
-2(x+3)^2=-14
Divide by -2
-2/-2(x+3)^2=-14/-2
(x+3)^2 = 7
Take the square root of each side
sqrt((x+3)^2) =± sqrt(7)
x+3 = ± sqrt(7)
Subtract 3 from each side
x+3-3 = -3 ± sqrt(7)
x = -3 ± sqrt(7)
