9s^3=9s

Solution for 9s^3=9s equation:

Simplifying
9s3 = 9s

Solving
9s3 = 9s

Solving for variable 's'.

Reorder the terms:
-9s + 9s3 = 9s + -9s

Combine like terms: 9s + -9s = 0
-9s + 9s3 = 0

Factor out the Greatest Common Factor (GCF), '9s'.
9s(-1 + s2) = 0

Factor a difference between two squares.
9s((1 + s)(-1 + s)) = 0

Ignore the factor 9.
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 '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 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 + s = 0 + -1

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

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

Simplifying
s = -1
Subproblem 3
Set the factor '(-1 + s)' equal to zero and attempt to solve:

Simplifying
-1 + s = 0

Solving
-1 + s = 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 + s = 0 + 1

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

Combine like terms: 0 + 1 = 1
s = 1

Simplifying
s = 1
Solution
s = {0, -1, 1}