m(m-1)(m+2)=0

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Solution for m(m-1)(m+2)=0 equation:


Simplifying
m(m + -1)(m + 2) = 0

Reorder the terms:
m(-1 + m)(m + 2) = 0

Reorder the terms:
m(-1 + m)(2 + m) = 0

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

Combine like terms: -1m + 2m = 1m
m(-2 + 1m + m2) = 0
(-2 * m + 1m * m + m2 * m) = 0
(-2m + 1m2 + m3) = 0

Solving
-2m + 1m2 + m3 = 0

Solving for variable 'm'.

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

Factor a trinomial.
m((-2 + -1m)(1 + -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 '(-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

Subproblem 3

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

Solution

m = {0, -2, 1}

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