m^3-100m=0

Solution for m^3-100m=0 equation:

Simplifying
m3 + -100m = 0

Reorder the terms:
-100m + m3 = 0

Solving
-100m + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-100 + m2) = 0

Factor a difference between two squares.
m((10 + m)(-10 + 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 '(10 + m)' equal to zero and attempt to solve:

Simplifying
10 + m = 0

Solving
10 + m = 0

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

Add '-10' to each side of the equation.
10 + -10 + m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + m = 0 + -10
m = 0 + -10

Combine like terms: 0 + -10 = -10
m = -10

Simplifying
m = -10
Subproblem 3
Set the factor '(-10 + m)' equal to zero and attempt to solve:

Simplifying
-10 + m = 0

Solving
-10 + m = 0

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

Add '10' to each side of the equation.
-10 + 10 + m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + m = 0 + 10
m = 0 + 10

Combine like terms: 0 + 10 = 10
m = 10

Simplifying
m = 10
Solution
m = {0, -10, 10}