s^2(s+5)=0

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

Simplifying
s2(s + 5) = 0

Reorder the terms:
s2(5 + s) = 0
(5 * s2 + s * s2) = 0
(5s2 + s3) = 0

Solving
5s2 + s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's2'.
s2(5 + s) = 0

Subproblem 1
Set the factor 's2' equal to zero and attempt to solve:

Simplifying
s2 = 0

Solving
s2 = 0

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

Simplifying
s2 = 0

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

Simplifying
5 + s = 0

Solving
5 + s = 0

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

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

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

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

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