3(m+6)(m-4)=

Solution for 3(m+6)(m-4)= equation:

Simplifying
3(m + 6)(m + -4) = 0

Reorder the terms:
3(6 + m)(m + -4) = 0

Reorder the terms:
3(6 + m)(-4 + m) = 0

Multiply (6 + m) * (-4 + m)
3(6(-4 + m) + m(-4 + m)) = 0
3((-4 * 6 + m * 6) + m(-4 + m)) = 0
3((-24 + 6m) + m(-4 + m)) = 0
3(-24 + 6m + (-4 * m + m * m)) = 0
3(-24 + 6m + (-4m + m2)) = 0

Combine like terms: 6m + -4m = 2m
3(-24 + 2m + m2) = 0
(-24 * 3 + 2m * 3 + m2 * 3) = 0
(-72 + 6m + 3m2) = 0

Solving
-72 + 6m + 3m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + 2m + m2) = 0

Factor a trinomial.
3((-6 + -1m)(4 + -1m)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve:

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 0 + 6
-1m = 0 + 6

Combine like terms: 0 + 6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6
Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {-6, 4}