m^3-9m=0

Solution for m^3-9m=0 equation:

Simplifying
m3 + -9m = 0

Reorder the terms:
-9m + m3 = 0

Solving
-9m + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-9 + m2) = 0

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

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

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

Simplifying
-3 + m = 0

Solving
-3 + m = 0

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

Add '3' to each side of the equation.
-3 + 3 + m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + m = 0 + 3
m = 0 + 3

Combine like terms: 0 + 3 = 3
m = 3

Simplifying
m = 3
Solution
m = {0, -3, 3}