m^3+36m=12m^2

Solution for m^3+36m=12m^2 equation:

Simplifying
m3 + 36m = 12m2

Reorder the terms:
36m + m3 = 12m2

Solving
36m + m3 = 12m2

Solving for variable 'm'.

Reorder the terms:
36m + -12m2 + m3 = 12m2 + -12m2

Combine like terms: 12m2 + -12m2 = 0
36m + -12m2 + m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(36 + -12m + m2) = 0

Factor a trinomial.
m((6 + -1m)(6 + -1m)) = 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 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 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 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Subproblem 3
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 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 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

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