(3m^2(n))((-2mn^3)+((m^3)n^4)-5n^4)=0

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Solution for (3m^2(n))((-2mn^3)+((m^3)n^4)-5n^4)=0 equation:


Simplifying
(3m2(n))((-2mn3) + ((m3) * n4) + -5n4) = 0

Multiply m2 * n
(3m2n)((-2mn3) + ((m3) * n4) + -5n4) = 0

Remove parenthesis around (3m2n)
3m2n((-2mn3) + ((m3) * n4) + -5n4) = 0

Multiply m3 * n4
3m2n((-2mn3) + (m3n4) + -5n4) = 0
3m2n((-2mn3) + m3n4 + -5n4) = 0
((-2mn3) * 3m2n + m3n4 * 3m2n + -5n4 * 3m2n) = 0

Reorder the terms:
(-15m2n5 + -6m3n4 + 3m5n5) = 0
(-15m2n5 + -6m3n4 + 3m5n5) = 0

Solving
-15m2n5 + -6m3n4 + 3m5n5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m2n4'.
3m2n4(-5n + -2m + m3n) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'm2n4' equal to zero and attempt to solve: Simplifying m2n4 = 0 Solving m2n4 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2n4 = 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 '(-5n + -2m + m3n)' equal to zero and attempt to solve: Simplifying -5n + -2m + m3n = 0 Reorder the terms: -2m + m3n + -5n = 0 Solving -2m + m3n + -5n = 0 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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