(-7m+5m)(3m+n)=

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


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

Combine like terms: -7m + 5m = -2m
(-2m)(3m + n) = 0

Remove parenthesis around (-2m)
-2m(3m + n) = 0
(3m * -2m + n * -2m) = 0

Reorder the terms:
(-2mn + -6m2) = 0
(-2mn + -6m2) = 0

Solving
-2mn + -6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-2m'.
-2m(n + 3m) = 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 '(n + 3m)' equal to zero and attempt to solve:

Simplifying
n + 3m = 0

Reorder the terms:
3m + n = 0

Solving
3m + n = 0

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

Add '-1n' to each side of the equation.
3m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
3m + 0 = 0 + -1n
3m = 0 + -1n
Remove the zero:
3m = -1n

Divide each side by '3'.
m = -0.3333333333n

Simplifying
m = -0.3333333333n
Solution
m = {0, -0.3333333333n}

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