10s^3=10s

Solution for 10s^3=10s equation:

Simplifying
10s3 = 10s

Solving
10s3 = 10s

Solving for variable 's'.

Reorder the terms:
-10s + 10s3 = 10s + -10s

Combine like terms: 10s + -10s = 0
-10s + 10s3 = 0

Factor out the Greatest Common Factor (GCF), '10s'.
10s(-1 + s2) = 0

Factor a difference between two squares.
10s((1 + s)(-1 + s)) = 0

Ignore the factor 10.
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}