4m(5n-8)+3mn-7m=

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Solution for 4m(5n-8)+3mn-7m= equation: 


Simplifying
4m(5n + -8) + 3mn + -7m = 0

Reorder the terms:
4m(-8 + 5n) + 3mn + -7m = 0
(-8 * 4m + 5n * 4m) + 3mn + -7m = 0
(-32m + 20mn) + 3mn + -7m = 0

Reorder the terms:
-32m + -7m + 20mn + 3mn = 0

Combine like terms: -32m + -7m = -39m
-39m + 20mn + 3mn = 0

Combine like terms: 20mn + 3mn = 23mn
-39m + 23mn = 0

Solving
-39m + 23mn = 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), 'm'.
m(-39 + 23n) = 0


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 '(-39 + 23n)' equal to zero and attempt to solve:

Simplifying
-39 + 23n = 0

Solving
-39 + 23n = 0

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

Add '39' to each side of the equation.
-39 + 39 + 23n = 0 + 39

Combine like terms: -39 + 39 = 0
0 + 23n = 0 + 39
23n = 0 + 39

Combine like terms: 0 + 39 = 39
23n = 39

Add '-23n' to each side of the equation.
23n + -23n = 39 + -23n

Combine like terms: 23n + -23n = 0
0 = 39 + -23n

Simplifying
0 = 39 + -23n

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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