(-5mn+10mn^2-6m^2n^2)+(4m^2n+11m^2n^2-3mn)=

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Solution for (-5mn+10mn^2-6m^2n^2)+(4m^2n+11m^2n^2-3mn)= equation: 


Simplifying
(-5mn + 10mn2 + -6m2n2) + (4m2n + 11m2n2 + -3mn) = 0

Remove parenthesis around (-5mn + 10mn2 + -6m2n2)
-5mn + 10mn2 + -6m2n2 + (4m2n + 11m2n2 + -3mn) = 0

Reorder the terms:
-5mn + 10mn2 + -6m2n2 + (-3mn + 4m2n + 11m2n2) = 0

Remove parenthesis around (-3mn + 4m2n + 11m2n2)
-5mn + 10mn2 + -6m2n2 + -3mn + 4m2n + 11m2n2 = 0

Reorder the terms:
-5mn + -3mn + 10mn2 + 4m2n + -6m2n2 + 11m2n2 = 0

Combine like terms: -5mn + -3mn = -8mn
-8mn + 10mn2 + 4m2n + -6m2n2 + 11m2n2 = 0

Combine like terms: -6m2n2 + 11m2n2 = 5m2n2
-8mn + 10mn2 + 4m2n + 5m2n2 = 0

Solving
-8mn + 10mn2 + 4m2n + 5m2n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mn'.
mn(-8 + 10n + 4m + 5mn) = 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 + 10n + 4m + 5mn)' equal to zero and attempt to solve:

Simplifying
-8 + 10n + 4m + 5mn = 0

Reorder the terms:
-8 + 4m + 5mn + 10n = 0

Solving
-8 + 4m + 5mn + 10n = 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 + 5mn + 8 + 10n = 0 + 8

Reorder the terms:
-8 + 8 + 4m + 5mn + 10n = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 4m + 5mn + 10n = 0 + 8
4m + 5mn + 10n = 0 + 8

Combine like terms: 0 + 8 = 8
4m + 5mn + 10n = 8

Add '-10n' to each side of the equation.
4m + 5mn + 10n + -10n = 8 + -10n

Combine like terms: 10n + -10n = 0
4m + 5mn + 0 = 8 + -10n
4m + 5mn = 8 + -10n

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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