(3m^3)-(5m^2)-(2m)=0

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Solution for (3m^3)-(5m^2)-(2m)=0 equation:


Simplifying
(3m3) + -1(5m2) + -1(2m) = 0

Remove parenthesis around (5m2)
(3m3) + -1 * 5m2 + -1(2m) = 0

Multiply -1 * 5
(3m3) + -5m2 + -1(2m) = 0

Remove parenthesis around (2m)
(3m3) + -5m2 + -1 * 2m = 0

Multiply -1 * 2
(3m3) + -5m2 + -2m = 0

Reorder the terms:
-2m + -5m2 + (3m3) = 0

Solving
-2m + -5m2 + (3m3) = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2 + -5m + (3m2)) = 0

Factor a trinomial.
m((-1 + -3m)(2 + -1m)) = 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 '(-1 + -3m)' equal to zero and attempt to solve: Simplifying -1 + -3m = 0 Solving -1 + -3m = 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 + -3m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3m = 0 + 1 -3m = 0 + 1 Combine like terms: 0 + 1 = 1 -3m = 1 Divide each side by '-3'. m = -0.3333333333 Simplifying m = -0.3333333333

Subproblem 3

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

Solution

m = {0, -0.3333333333, 2}

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