6m(7n-4)+4(8mn-4m)=

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Solution for 6m(7n-4)+4(8mn-4m)= equation: 


Simplifying
6m(7n + -4) + 4(8mn + -4m) = 0

Reorder the terms:
6m(-4 + 7n) + 4(8mn + -4m) = 0
(-4 * 6m + 7n * 6m) + 4(8mn + -4m) = 0
(-24m + 42mn) + 4(8mn + -4m) = 0

Reorder the terms:
-24m + 42mn + 4(-4m + 8mn) = 0
-24m + 42mn + (-4m * 4 + 8mn * 4) = 0
-24m + 42mn + (-16m + 32mn) = 0

Reorder the terms:
-24m + -16m + 42mn + 32mn = 0

Combine like terms: -24m + -16m = -40m
-40m + 42mn + 32mn = 0

Combine like terms: 42mn + 32mn = 74mn
-40m + 74mn = 0

Solving
-40m + 74mn = 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), '2m'.
2m(-20 + 37n) = 0

Ignore the factor 2.

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 + 37n)' equal to zero and attempt to solve:

Simplifying
-20 + 37n = 0

Solving
-20 + 37n = 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 + 37n = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 37n = 0 + 20
37n = 0 + 20

Combine like terms: 0 + 20 = 20
37n = 20

Add '-37n' to each side of the equation.
37n + -37n = 20 + -37n

Combine like terms: 37n + -37n = 0
0 = 20 + -37n

Simplifying
0 = 20 + -37n

The solution to this equation could not be determined.

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

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