5m(4n-9)+4mn-8m=

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Solution for 5m(4n-9)+4mn-8m= equation: 


Simplifying
5m(4n + -9) + 4mn + -8m = 0

Reorder the terms:
5m(-9 + 4n) + 4mn + -8m = 0
(-9 * 5m + 4n * 5m) + 4mn + -8m = 0
(-45m + 20mn) + 4mn + -8m = 0

Reorder the terms:
-45m + -8m + 20mn + 4mn = 0

Combine like terms: -45m + -8m = -53m
-53m + 20mn + 4mn = 0

Combine like terms: 20mn + 4mn = 24mn
-53m + 24mn = 0

Solving
-53m + 24mn = 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(-53 + 24n) = 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 '(-53 + 24n)' equal to zero and attempt to solve:

Simplifying
-53 + 24n = 0

Solving
-53 + 24n = 0

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

Add '53' to each side of the equation.
-53 + 53 + 24n = 0 + 53

Combine like terms: -53 + 53 = 0
0 + 24n = 0 + 53
24n = 0 + 53

Combine like terms: 0 + 53 = 53
24n = 53

Add '-24n' to each side of the equation.
24n + -24n = 53 + -24n

Combine like terms: 24n + -24n = 0
0 = 53 + -24n

Simplifying
0 = 53 + -24n

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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