Explanation:
what is the question ?
solve it for x ?
if that is the case :
-9/(x+4) - 2/(x²+4x) = -4
-9 - 2(x+4)/(x²+4x) = -4(x+4)
-9 - 2(x+4)/(x(x+4)) = -4(x+4)
-9 - 2/x = -4(x+4)
-9x - 2 = -4x(x+4)
-9x - 2 = -4x² - 16x
-2 = -4x² - 7x
0 = -4x² - 7x + 2
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -4
b = -7
c = 2
so
x = (7 ± sqrt((-7)² - 4×-4×2))/(2×-4) =
= (7 ± sqrt(49 + 32))/(-8) = (7 ± sqrt(81))/(-8) =
= (7 ± 9)/(-8)
x1 = (7+9)/(-8) = 16/-8 = -2
x2 = (7-9)/(-8) = -2/-8 = 1/4 = 0.25
x1 and x2 are the two solutions to this equation.