m^2(12m+4)=5m

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Solution for m^2(12m+4)=5m equation:


Simplifying
m2(12m + 4) = 5m

Reorder the terms:
m2(4 + 12m) = 5m
(4 * m2 + 12m * m2) = 5m
(4m2 + 12m3) = 5m

Solving
4m2 + 12m3 = 5m

Solving for variable 'm'.

Reorder the terms:
-5m + 4m2 + 12m3 = 5m + -5m

Combine like terms: 5m + -5m = 0
-5m + 4m2 + 12m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-5 + 4m + 12m2) = 0

Factor a trinomial.
m((-5 + -6m)(1 + -2m)) = 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 '(-5 + -6m)' equal to zero and attempt to solve: Simplifying -5 + -6m = 0 Solving -5 + -6m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6m = 0 + 5 -6m = 0 + 5 Combine like terms: 0 + 5 = 5 -6m = 5 Divide each side by '-6'. m = -0.8333333333 Simplifying m = -0.8333333333

Subproblem 3

Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5

Solution

m = {0, -0.8333333333, 0.5}

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