3m(m+12)(m-15)=0

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Solution for 3m(m+12)(m-15)=0 equation: 


Simplifying
3m(m + 12)(m + -15) = 0

Reorder the terms:
3m(12 + m)(m + -15) = 0

Reorder the terms:
3m(12 + m)(-15 + m) = 0

Multiply (12 + m) * (-15 + m)
3m(12(-15 + m) + m(-15 + m)) = 0
3m((-15 * 12 + m * 12) + m(-15 + m)) = 0
3m((-180 + 12m) + m(-15 + m)) = 0
3m(-180 + 12m + (-15 * m + m * m)) = 0
3m(-180 + 12m + (-15m + m2)) = 0

Combine like terms: 12m + -15m = -3m
3m(-180 + -3m + m2) = 0
(-180 * 3m + -3m * 3m + m2 * 3m) = 0
(-540m + -9m2 + 3m3) = 0

Solving
-540m + -9m2 + 3m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(-180 + -3m + m2) = 0

Factor a trinomial.
3m((-12 + -1m)(15 + -1m)) = 0

Ignore the factor 3.

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 '(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
Solution
m = {0, -12, 15}

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