7m^3-21m^2-1890m=0

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Solution for 7m^3-21m^2-1890m=0 equation:


Simplifying
7m3 + -21m2 + -1890m = 0

Reorder the terms:
-1890m + -21m2 + 7m3 = 0

Solving
-1890m + -21m2 + 7m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7m'.
7m(-270 + -3m + m2) = 0

Factor a trinomial.
7m((-15 + -1m)(18 + -1m)) = 0

Ignore the factor 7.

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 '(-15 + -1m)' equal to zero and attempt to solve: Simplifying -15 + -1m = 0 Solving -15 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1m = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1m = 0 + 15 -1m = 0 + 15 Combine like terms: 0 + 15 = 15 -1m = 15 Divide each side by '-1'. m = -15 Simplifying m = -15

Subproblem 3

Set the factor '(18 + -1m)' equal to zero and attempt to solve: Simplifying 18 + -1m = 0 Solving 18 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1m = 0 + -18 -1m = 0 + -18 Combine like terms: 0 + -18 = -18 -1m = -18 Divide each side by '-1'. m = 18 Simplifying m = 18

Solution

m = {0, -15, 18}

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