m(m-3)(m+12)=0

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Solution for m(m-3)(m+12)=0 equation: 


Simplifying
m(m + -3)(m + 12) = 0

Reorder the terms:
m(-3 + m)(m + 12) = 0

Reorder the terms:
m(-3 + m)(12 + m) = 0

Multiply (-3 + m) * (12 + m)
m(-3(12 + m) + m(12 + m)) = 0
m((12 * -3 + m * -3) + m(12 + m)) = 0
m((-36 + -3m) + m(12 + m)) = 0
m(-36 + -3m + (12 * m + m * m)) = 0
m(-36 + -3m + (12m + m2)) = 0

Combine like terms: -3m + 12m = 9m
m(-36 + 9m + m2) = 0
(-36 * m + 9m * m + m2 * m) = 0
(-36m + 9m2 + m3) = 0

Solving
-36m + 9m2 + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-36 + 9m + m2) = 0

Factor a trinomial.
m((-12 + -1m)(3 + -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 '(-12 + -1m)' equal to zero and attempt to solve:

Simplifying
-12 + -1m = 0

Solving
-12 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + -1m = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1m = 0 + 12
-1m = 0 + 12

Combine like terms: 0 + 12 = 12
-1m = 12

Divide each side by '-1'.
m = -12

Simplifying
m = -12

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

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {0, -12, 3}

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