s^2(2s+8)=0

Solution for s^2(2s+8)=0 equation:

Simplifying
s2(2s + 8) = 0

Reorder the terms:
s2(8 + 2s) = 0
(8 * s2 + 2s * s2) = 0
(8s2 + 2s3) = 0

Solving
8s2 + 2s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2s2'.
2s2(4 + s) = 0

Ignore the factor 2.
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 '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

Add '-4' to each side of the equation.
4 + -4 + s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + s = 0 + -4
s = 0 + -4

Combine like terms: 0 + -4 = -4
s = -4

Simplifying
s = -4
Solution
s = {0, -4}