20m^3+38m^2+12m=

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Solution for 20m^3+38m^2+12m= equation:


Simplifying
20m3 + 38m2 + 12m = 0

Reorder the terms:
12m + 38m2 + 20m3 = 0

Solving
12m + 38m2 + 20m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(6 + 19m + 10m2) = 0

Factor a trinomial.
2m((3 + 2m)(2 + 5m)) = 0

Ignore the factor 2.

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 '(3 + 2m)' equal to zero and attempt to solve: Simplifying 3 + 2m = 0 Solving 3 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 0 + -3 2m = 0 + -3 Combine like terms: 0 + -3 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5

Subproblem 3

Set the factor '(2 + 5m)' equal to zero and attempt to solve: Simplifying 2 + 5m = 0 Solving 2 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4

Solution

m = {0, -1.5, -0.4}

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