s(s^2+25)=0

Solution for s(s^2+25)=0 equation:

Simplifying
s(s2 + 25) = 0

Reorder the terms:
s(25 + s2) = 0
(25 * s + s2 * s) = 0
(25s + s3) = 0

Solving
25s + s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(25 + s2) = 0

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

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(25 + s2)' equal to zero and attempt to solve:

Simplifying
25 + s2 = 0

Solving
25 + s2 = 0

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

Add '-25' to each side of the equation.
25 + -25 + s2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + s2 = 0 + -25
s2 = 0 + -25

Combine like terms: 0 + -25 = -25
s2 = -25

Simplifying
s2 = -25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
s = {0}