5mn+7m=9m

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Solution for 5mn+7m=9m equation: 


Simplifying
5mn + 7m = 9m

Reorder the terms:
7m + 5mn = 9m

Solving
7m + 5mn = 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
7m + -9m + 5mn = 9m + -9m

Combine like terms: 7m + -9m = -2m
-2m + 5mn = 9m + -9m

Combine like terms: 9m + -9m = 0
-2m + 5mn = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2 + 5n) = 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 '(-2 + 5n)' equal to zero and attempt to solve:

Simplifying
-2 + 5n = 0

Solving
-2 + 5n = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5n = 0 + 2
5n = 0 + 2

Combine like terms: 0 + 2 = 2
5n = 2

Add '-5n' to each side of the equation.
5n + -5n = 2 + -5n

Combine like terms: 5n + -5n = 0
0 = 2 + -5n

Simplifying
0 = 2 + -5n

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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