12m(m-3n)=

Solution for 12m(m-3n)= equation:

Simplifying
12m(m + -3n) = 0
(m * 12m + -3n * 12m) = 0

Reorder the terms:
(-36mn + 12m2) = 0
(-36mn + 12m2) = 0

Solving
-36mn + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '12m'.
12m(-3n + m) = 0

Ignore the factor 12.
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 '(-3n + m)' equal to zero and attempt to solve:

Simplifying
-3n + m = 0

Reorder the terms:
m + -3n = 0

Solving
m + -3n = 0

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

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

Combine like terms: -3n + 3n = 0
m + 0 = 0 + 3n
m = 0 + 3n
Remove the zero:
m = 3n

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