8s^3=128s

Solution for 8s^3=128s equation:

Simplifying
8s3 = 128s

Solving
8s3 = 128s

Solving for variable 's'.

Reorder the terms:
-128s + 8s3 = 128s + -128s

Combine like terms: 128s + -128s = 0
-128s + 8s3 = 0

Factor out the Greatest Common Factor (GCF), '8s'.
8s(-16 + s2) = 0

Factor a difference between two squares.
8s((4 + s)(-4 + s)) = 0

Ignore the factor 8.
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 '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

Add '-4' to each side of the equation.
4 + -4 + s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + s = 0 + -4
s = 0 + -4

Combine like terms: 0 + -4 = -4
s = -4

Simplifying
s = -4
Subproblem 3
Set the factor '(-4 + s)' equal to zero and attempt to solve:

Simplifying
-4 + s = 0

Solving
-4 + s = 0

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

Add '4' to each side of the equation.
-4 + 4 + s = 0 + 4

Combine like terms: -4 + 4 = 0
0 + s = 0 + 4
s = 0 + 4

Combine like terms: 0 + 4 = 4
s = 4

Simplifying
s = 4
Solution
s = {0, -4, 4}