m(m+3)(m+2)=0

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Solution for m(m+3)(m+2)=0 equation: 


Simplifying
m(m + 3)(m + 2) = 0

Reorder the terms:
m(3 + m)(m + 2) = 0

Reorder the terms:
m(3 + m)(2 + m) = 0

Multiply (3 + m) * (2 + m)
m(3(2 + m) + m(2 + m)) = 0
m((2 * 3 + m * 3) + m(2 + m)) = 0
m((6 + 3m) + m(2 + m)) = 0
m(6 + 3m + (2 * m + m * m)) = 0
m(6 + 3m + (2m + m2)) = 0

Combine like terms: 3m + 2m = 5m
m(6 + 5m + m2) = 0
(6 * m + 5m * m + m2 * m) = 0
(6m + 5m2 + m3) = 0

Solving
6m + 5m2 + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(6 + 5m + m2) = 0

Factor a trinomial.
m((3 + m)(2 + 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 '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 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 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3

Subproblem 3
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
Solution
m = {0, -3, -2}

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