(5m^2n+2mn^2)+(6mn-2m^2n)+(-mn^2+2mn+m^2n)=

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Solution for (5m^2n+2mn^2)+(6mn-2m^2n)+(-mn^2+2mn+m^2n)= equation: 


Simplifying
(5m2n + 2mn2) + (6mn + -2m2n) + (-1mn2 + 2mn + m2n) = 0

Reorder the terms:
(2mn2 + 5m2n) + (6mn + -2m2n) + (-1mn2 + 2mn + m2n) = 0

Remove parenthesis around (2mn2 + 5m2n)
2mn2 + 5m2n + (6mn + -2m2n) + (-1mn2 + 2mn + m2n) = 0

Remove parenthesis around (6mn + -2m2n)
2mn2 + 5m2n + 6mn + -2m2n + (-1mn2 + 2mn + m2n) = 0

Reorder the terms:
2mn2 + 5m2n + 6mn + -2m2n + (2mn + -1mn2 + m2n) = 0

Remove parenthesis around (2mn + -1mn2 + m2n)
2mn2 + 5m2n + 6mn + -2m2n + 2mn + -1mn2 + m2n = 0

Reorder the terms:
6mn + 2mn + 2mn2 + -1mn2 + 5m2n + -2m2n + m2n = 0

Combine like terms: 6mn + 2mn = 8mn
8mn + 2mn2 + -1mn2 + 5m2n + -2m2n + m2n = 0

Combine like terms: 2mn2 + -1mn2 = 1mn2
8mn + 1mn2 + 5m2n + -2m2n + m2n = 0

Combine like terms: 5m2n + -2m2n = 3m2n
8mn + 1mn2 + 3m2n + m2n = 0

Combine like terms: 3m2n + m2n = 4m2n
8mn + 1mn2 + 4m2n = 0

Solving
8mn + 1mn2 + 4m2n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mn'.
mn(8 + n + 4m) = 0


Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve:

Simplifying
mn = 0

Solving
mn = 0

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

Simplifying
mn = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(8 + n + 4m)' equal to zero and attempt to solve:

Simplifying
8 + n + 4m = 0

Reorder the terms:
8 + 4m + n = 0

Solving
8 + 4m + n = 0

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

Add '-8' to each side of the equation.
8 + 4m + -8 + n = 0 + -8

Reorder the terms:
8 + -8 + 4m + n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4m + n = 0 + -8
4m + n = 0 + -8

Combine like terms: 0 + -8 = -8
4m + n = -8

Add '-1n' to each side of the equation.
4m + n + -1n = -8 + -1n

Combine like terms: n + -1n = 0
4m + 0 = -8 + -1n
4m = -8 + -1n

Divide each side by '4'.
m = -2 + -0.25n

Simplifying
m = -2 + -0.25n
Solution
m = {-2 + -0.25n}

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