q^3=36q

Solution for q^3=36q equation:

Simplifying
q3 = 36q

Solving
q3 = 36q

Solving for variable 'q'.

Reorder the terms:
-36q + q3 = 36q + -36q

Combine like terms: 36q + -36q = 0
-36q + q3 = 0

Factor out the Greatest Common Factor (GCF), 'q'.
q(-36 + q2) = 0

Factor a difference between two squares.
q((6 + q)(-6 + q)) = 0

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

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0
Subproblem 2
Set the factor '(6 + q)' equal to zero and attempt to solve:

Simplifying
6 + q = 0

Solving
6 + q = 0

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

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

Combine like terms: 6 + -6 = 0
0 + q = 0 + -6
q = 0 + -6

Combine like terms: 0 + -6 = -6
q = -6

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

Simplifying
-6 + q = 0

Solving
-6 + q = 0

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

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

Combine like terms: -6 + 6 = 0
0 + q = 0 + 6
q = 0 + 6

Combine like terms: 0 + 6 = 6
q = 6

Simplifying
q = 6
Solution
q = {0, -6, 6}