-x^2(x+5)=0

Solution for -x^2(x+5)=0 equation:

Simplifying
-1x2(x + 5) = 0

Reorder the terms:
-1x2(5 + x) = 0
(5 * -1x2 + x * -1x2) = 0
(-5x2 + -1x3) = 0

Solving
-5x2 + -1x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x2'.
-1x2(5 + x) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {0, -5}