Answer:
x = -5
Explanation:
start with factoring
-x^2 - 10x - 25 = 0 (i moved 25 to the left side)
then you can multiply the entire equation by -1 to get rid of the negative sign
x^2 + 10x + 25 = 0
now 5x5 = 25 and 5+5 = 10.
so (x^2 + 5x + 5x + 25) = 0
x(x+5) 5(x+5) = 0
(x+5)(x+5) = 0
(x+5)^2 = 0
so x = -5