m^3+12m^2+36m=0

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Solution for m^3+12m^2+36m=0 equation:


Simplifying
m3 + 12m2 + 36m = 0

Reorder the terms:
36m + 12m2 + m3 = 0

Solving
36m + 12m2 + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(36 + 12m + m2) = 0

Factor a trinomial.
m((6 + m)(6 + m)) = 0

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(6 + m)' equal to zero and attempt to solve: Simplifying 6 + m = 0 Solving 6 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + m = 0 + -6 m = 0 + -6 Combine like terms: 0 + -6 = -6 m = -6 Simplifying m = -6

Subproblem 3

Set the factor '(6 + m)' equal to zero and attempt to solve: Simplifying 6 + m = 0 Solving 6 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + m = 0 + -6 m = 0 + -6 Combine like terms: 0 + -6 = -6 m = -6 Simplifying m = -6

Solution

m = {0, -6, -6}

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