(7mn-4mn^4+13m^3)-(-2mn-5mn^4)-(11mn^4-9m^3)=

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Solution for (7mn-4mn^4+13m^3)-(-2mn-5mn^4)-(11mn^4-9m^3)= equation: 


Simplifying
(7mn + -4mn4 + 13m3) + -1(-2mn + -5mn4) + -1(11mn4 + -9m3) = 0

Remove parenthesis around (7mn + -4mn4 + 13m3)
7mn + -4mn4 + 13m3 + -1(-2mn + -5mn4) + -1(11mn4 + -9m3) = 0
7mn + -4mn4 + 13m3 + (-2mn * -1 + -5mn4 * -1) + -1(11mn4 + -9m3) = 0
7mn + -4mn4 + 13m3 + (2mn + 5mn4) + -1(11mn4 + -9m3) = 0
7mn + -4mn4 + 13m3 + 2mn + 5mn4 + (11mn4 * -1 + -9m3 * -1) = 0
7mn + -4mn4 + 13m3 + 2mn + 5mn4 + (-11mn4 + 9m3) = 0

Reorder the terms:
7mn + 2mn + -4mn4 + 5mn4 + -11mn4 + 13m3 + 9m3 = 0

Combine like terms: 7mn + 2mn = 9mn
9mn + -4mn4 + 5mn4 + -11mn4 + 13m3 + 9m3 = 0

Combine like terms: -4mn4 + 5mn4 = 1mn4
9mn + 1mn4 + -11mn4 + 13m3 + 9m3 = 0

Combine like terms: 1mn4 + -11mn4 = -10mn4
9mn + -10mn4 + 13m3 + 9m3 = 0

Combine like terms: 13m3 + 9m3 = 22m3
9mn + -10mn4 + 22m3 = 0

Solving
9mn + -10mn4 + 22m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(9n + -10n4 + 22m2) = 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 '(9n + -10n4 + 22m2)' equal to zero and attempt to solve:

Simplifying
9n + -10n4 + 22m2 = 0

Reorder the terms:
22m2 + 9n + -10n4 = 0

Solving
22m2 + 9n + -10n4 = 0

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

Add '-9n' to each side of the equation.
22m2 + 9n + -9n + -10n4 = 0 + -9n

Combine like terms: 9n + -9n = 0
22m2 + 0 + -10n4 = 0 + -9n
22m2 + -10n4 = 0 + -9n
Remove the zero:
22m2 + -10n4 = -9n

Add '10n4' to each side of the equation.
22m2 + -10n4 + 10n4 = -9n + 10n4

Combine like terms: -10n4 + 10n4 = 0
22m2 + 0 = -9n + 10n4
22m2 = -9n + 10n4

Divide each side by '22'.
m2 = -0.4090909091n + 0.4545454545n4

Simplifying
m2 = -0.4090909091n + 0.4545454545n4

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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