m^3-36m=0

Solution for m^3-36m=0 equation:

Simplifying
m3 + -36m = 0

Reorder the terms:
-36m + m3 = 0

Solving
-36m + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-36 + m2) = 0

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

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

Simplifying
m = 0

Solving
m = 0

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

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

Simplifying
6 + m = 0

Solving
6 + m = 0

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

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

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

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

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

Simplifying
-6 + m = 0

Solving
-6 + m = 0

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

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

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

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

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