s^2(s^2+1)=0

Solution for s^2(s^2+1)=0 equation:

Simplifying
s2(s2 + 1) = 0

Reorder the terms:
s2(1 + s2) = 0
(1 * s2 + s2 * s2) = 0
(1s2 + s4) = 0

Solving
1s2 + s4 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's2'.
s2(1 + s2) = 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 '(1 + s2)' equal to zero and attempt to solve:

Simplifying
1 + s2 = 0

Solving
1 + s2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + s2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + s2 = 0 + -1
s2 = 0 + -1

Combine like terms: 0 + -1 = -1
s2 = -1

Simplifying
s2 = -1

The solution to this equation could not be determined.

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