s^5-12s^4+36s^3=

Solution for s^5-12s^4+36s^3= equation:

Simplifying
s5 + -12s4 + 36s3 = 0

Reorder the terms:
36s3 + -12s4 + s5 = 0

Solving
36s3 + -12s4 + s5 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's3'.
s3(36 + -12s + s2) = 0

Factor a trinomial.
s3((6 + -1s)(6 + -1s)) = 0

Subproblem 1
Set the factor 's3' equal to zero and attempt to solve:

Simplifying
s3 = 0

Solving
s3 = 0

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

Simplifying
s3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Subproblem 3
Set the factor '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {6, 6}