3m^2n+12mn^2=0

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Solution for 3m^2n+12mn^2=0 equation:


Simplifying
3m2n + 12mn2 = 0

Reorder the terms:
12mn2 + 3m2n = 0

Solving
12mn2 + 3m2n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3mn'.
3mn(4n + m) = 0

Ignore the factor 3.

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 '(4n + m)' equal to zero and attempt to solve: Simplifying 4n + m = 0 Reorder the terms: m + 4n = 0 Solving m + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 m + 0 = 0 + -4n m = 0 + -4n Remove the zero: m = -4n Simplifying m = -4n

Solution

m = {-4n}

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