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

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 = 3m
m(2 + 3m + m2) = 0
(2 * m + 3m * m + m2 * m) = 0
(2m + 3m2 + m3) = 0

Solving
2m + 3m2 + m3 = 0

Solving for variable 'm'.

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

Factor a trinomial.
m((2 + m)(1 + m)) = 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 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 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 + m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2

Combine like terms: 0 + -2 = -2
m = -2

Simplifying
m = -2
Subproblem 3
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 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 + m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m = 0 + -1
m = 0 + -1

Combine like terms: 0 + -1 = -1
m = -1

Simplifying
m = -1
Solution
m = {0, -2, -1}