3m^2=12m

Solution for 3m^2=12m equation:

Simplifying
3m2 = 12m

Solving
3m2 = 12m

Solving for variable 'm'.

Reorder the terms:
-12m + 3m2 = 12m + -12m

Combine like terms: 12m + -12m = 0
-12m + 3m2 = 0

Factor out the Greatest Common Factor (GCF), '3m'.
3m(-4 + m) = 0

Ignore the factor 3.
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 '(-4 + m)' equal to zero and attempt to solve:

Simplifying
-4 + m = 0

Solving
-4 + m = 0

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

Add '4' to each side of the equation.
-4 + 4 + m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + m = 0 + 4
m = 0 + 4

Combine like terms: 0 + 4 = 4
m = 4

Simplifying
m = 4
Solution
m = {0, 4}