s^3-3s=0

Solution for s^3-3s=0 equation:

Simplifying
s3 + -3s = 0

Reorder the terms:
-3s + s3 = 0

Solving
-3s + s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(-3 + 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 '(-3 + s2)' equal to zero and attempt to solve:

Simplifying
-3 + s2 = 0

Solving
-3 + s2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + s2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + s2 = 0 + 3
s2 = 0 + 3

Combine like terms: 0 + 3 = 3
s2 = 3

Simplifying
s2 = 3

Take the square root of each side:
s = {-1.732050808, 1.732050808}
Solution
s = {0, -1.732050808, 1.732050808}