-4m(3n-60)=

Solution for -4m(3n-60)= equation:

Simplifying
-4m(3n + -60) = 0

Reorder the terms:
-4m(-60 + 3n) = 0
(-60 * -4m + 3n * -4m) = 0
(240m + -12mn) = 0

Solving
240m + -12mn = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), '12m'.
12m(20 + -1n) = 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 '(20 + -1n)' equal to zero and attempt to solve:

Simplifying
20 + -1n = 0

Solving
20 + -1n = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1n = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1n = 0 + -20
-1n = 0 + -20

Combine like terms: 0 + -20 = -20
-1n = -20

Add 'n' to each side of the equation.
-1n + n = -20 + n

Combine like terms: -1n + n = 0
0 = -20 + n

Simplifying
0 = -20 + n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}