12m^2n+24m^3n^2-36m^4n^3=

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Solution for 12m^2n+24m^3n^2-36m^4n^3= equation:


Simplifying
12m2n + 24m3n2 + -36m4n3 = 0

Solving
12m2n + 24m3n2 + -36m4n3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '12m2n'.
12m2n(1 + 2mn + -3m2n2) = 0

Factor a trinomial.
12m2n((1 + -1mn)(1 + 3mn)) = 0

Ignore the factor 12.

Subproblem 1

Set the factor 'm2n' equal to zero and attempt to solve: Simplifying m2n = 0 Solving m2n = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2n = 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 '(1 + -1mn)' equal to zero and attempt to solve: Simplifying 1 + -1mn = 0 Solving 1 + -1mn = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1mn = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1mn = 0 + -1 -1mn = 0 + -1 Combine like terms: 0 + -1 = -1 -1mn = -1 Divide each side by '-1n'. m = n-1 Simplifying m = n-1

Subproblem 3

Set the factor '(1 + 3mn)' equal to zero and attempt to solve: Simplifying 1 + 3mn = 0 Solving 1 + 3mn = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3mn = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3mn = 0 + -1 3mn = 0 + -1 Combine like terms: 0 + -1 = -1 3mn = -1 Divide each side by '3n'. m = -0.3333333333n-1 Simplifying m = -0.3333333333n-1

Solution

m = {n-1, -0.3333333333n-1}

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