4(3m-3)(m+9)=0

Solution for 4(3m-3)(m+9)=0 equation:

Simplifying
4(3m + -3)(m + 9) = 0

Reorder the terms:
4(-3 + 3m)(m + 9) = 0

Reorder the terms:
4(-3 + 3m)(9 + m) = 0

Multiply (-3 + 3m) * (9 + m)
4(-3(9 + m) + 3m * (9 + m)) = 0
4((9 * -3 + m * -3) + 3m * (9 + m)) = 0
4((-27 + -3m) + 3m * (9 + m)) = 0
4(-27 + -3m + (9 * 3m + m * 3m)) = 0
4(-27 + -3m + (27m + 3m2)) = 0

Combine like terms: -3m + 27m = 24m
4(-27 + 24m + 3m2) = 0
(-27 * 4 + 24m * 4 + 3m2 * 4) = 0
(-108 + 96m + 12m2) = 0

Solving
-108 + 96m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-9 + 8m + m2) = 0

Factor a trinomial.
12((-9 + -1m)(1 + -1m)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve:

Simplifying
-9 + -1m = 0

Solving
-9 + -1m = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1m = 0 + 9
-1m = 0 + 9

Combine like terms: 0 + 9 = 9
-1m = 9

Divide each side by '-1'.
m = -9

Simplifying
m = -9
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

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

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

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

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

Simplifying
m = 1
Solution
m = {-9, 1}