(5m^3n)=(-2mn^2)

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


Simplifying
(5m3n) = (-2mn2)

Solving
(5m3n) = (-2mn2)

Solving for variable 'm'.

Reorder the terms:
(2mn2) + (5m3n) = (-2mn2) + (2mn2)

Combine like terms: (-2mn2) + (2mn2) = 0
(2mn2) + (5m3n) = 0

Factor out the Greatest Common Factor (GCF), 'mn'.
mn((2n) + (5m2)) = 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 '((2n) + (5m2))' equal to zero and attempt to solve: Simplifying (2n) + (5m2) = 0 Reorder the terms: (5m2) + (2n) = 0 Solving (5m2) + (2n) = 0 Move all terms containing m to the left, all other terms to the right. Add '(-2n)' to each side of the equation. (5m2) + (2n) + (-2n) = 0 + (-2n) Combine like terms: (2n) + (-2n) = 0 (5m2) + 0 = 0 + (-2n) (5m2) = 0 + (-2n) Remove the zero: (5m2) = (-2n) Divide each side by '5'. m2 = (-0.4n) Simplifying m2 = (-0.4n) 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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