4s^3-9s=0

Solution for 4s^3-9s=0 equation:

Simplifying
4s3 + -9s = 0

Reorder the terms:
-9s + 4s3 = 0

Solving
-9s + 4s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(-9 + 4s2) = 0

Factor a difference between two squares.
s((3 + 2s)(-3 + 2s)) = 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 + 2s)' equal to zero and attempt to solve:

Simplifying
3 + 2s = 0

Solving
3 + 2s = 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 + 2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2s = 0 + -3
2s = 0 + -3

Combine like terms: 0 + -3 = -3
2s = -3

Divide each side by '2'.
s = -1.5

Simplifying
s = -1.5
Subproblem 3
Set the factor '(-3 + 2s)' equal to zero and attempt to solve:

Simplifying
-3 + 2s = 0

Solving
-3 + 2s = 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 + 2s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2s = 0 + 3
2s = 0 + 3

Combine like terms: 0 + 3 = 3
2s = 3

Divide each side by '2'.
s = 1.5

Simplifying
s = 1.5
Solution
s = {0, -1.5, 1.5}