20mn^11-15m^2n^4-45mn^2=0

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Solution for 20mn^11-15m^2n^4-45mn^2=0 equation:


Simplifying
20mn11 + -15m2n4 + -45mn2 = 0

Reorder the terms:
-45mn2 + 20mn11 + -15m2n4 = 0

Solving
-45mn2 + 20mn11 + -15m2n4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5mn2'.
5mn2(-9 + 4n9 + -3mn2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'mn2' equal to zero and attempt to solve: Simplifying mn2 = 0 Solving mn2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn2 = 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 '(-9 + 4n9 + -3mn2)' equal to zero and attempt to solve: Simplifying -9 + 4n9 + -3mn2 = 0 Reorder the terms: -9 + -3mn2 + 4n9 = 0 Solving -9 + -3mn2 + 4n9 = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -3mn2 + 9 + 4n9 = 0 + 9 Reorder the terms: -9 + 9 + -3mn2 + 4n9 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3mn2 + 4n9 = 0 + 9 -3mn2 + 4n9 = 0 + 9 Combine like terms: 0 + 9 = 9 -3mn2 + 4n9 = 9 Add '-4n9' to each side of the equation. -3mn2 + 4n9 + -4n9 = 9 + -4n9 Combine like terms: 4n9 + -4n9 = 0 -3mn2 + 0 = 9 + -4n9 -3mn2 = 9 + -4n9 Divide each side by '-3n2'. m = -3n-2 + 1.333333333n7 Simplifying m = -3n-2 + 1.333333333n7

Solution

m = {-3n-2 + 1.333333333n7}

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