6m^3-36m=0

Solution for 6m^3-36m=0 equation:

Simplifying
6m3 + -36m = 0

Reorder the terms:
-36m + 6m3 = 0

Solving
-36m + 6m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6m'.
6m(-6 + m2) = 0

Ignore the factor 6.
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 + m2)' equal to zero and attempt to solve:

Simplifying
-6 + m2 = 0

Solving
-6 + m2 = 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 + m2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + m2 = 0 + 6
m2 = 0 + 6

Combine like terms: 0 + 6 = 6
m2 = 6

Simplifying
m2 = 6

Take the square root of each side:
m = {-2.449489743, 2.449489743}
Solution
m = {0, -2.449489743, 2.449489743}