-4m(3n-6p)=

Solution for -4m(3n-6p)= equation:

Simplifying
-4m(3n + -6p) = 0
(3n * -4m + -6p * -4m) = 0
(-12mn + 24mp) = 0

Solving
-12mn + 24mp = 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(-1n + 2p) = 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 '(-1n + 2p)' equal to zero and attempt to solve:

Simplifying
-1n + 2p = 0

Solving
-1n + 2p = 0

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

Add 'n' to each side of the equation.
-1n + n + 2p = 0 + n

Combine like terms: -1n + n = 0
0 + 2p = 0 + n
2p = 0 + n
Remove the zero:
2p = n

Add '-2p' to each side of the equation.
2p + -2p = n + -2p

Combine like terms: 2p + -2p = 0
0 = n + -2p

Simplifying
0 = n + -2p

The solution to this equation could not be determined.

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