(12m+9)(7m+3)=

Solution for (12m+9)(7m+3)= equation:

Simplifying
(12m + 9)(7m + 3) = 0

Reorder the terms:
(9 + 12m)(7m + 3) = 0

Reorder the terms:
(9 + 12m)(3 + 7m) = 0

Multiply (9 + 12m) * (3 + 7m)
(9(3 + 7m) + 12m * (3 + 7m)) = 0
((3 * 9 + 7m * 9) + 12m * (3 + 7m)) = 0
((27 + 63m) + 12m * (3 + 7m)) = 0
(27 + 63m + (3 * 12m + 7m * 12m)) = 0
(27 + 63m + (36m + 84m2)) = 0

Combine like terms: 63m + 36m = 99m
(27 + 99m + 84m2) = 0

Solving
27 + 99m + 84m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 33m + 28m2) = 0

Factor a trinomial.
3((3 + 4m)(3 + 7m)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + 4m)' equal to zero and attempt to solve:

Simplifying
3 + 4m = 0

Solving
3 + 4m = 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 + 4m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4m = 0 + -3
4m = 0 + -3

Combine like terms: 0 + -3 = -3
4m = -3

Divide each side by '4'.
m = -0.75

Simplifying
m = -0.75
Subproblem 2
Set the factor '(3 + 7m)' equal to zero and attempt to solve:

Simplifying
3 + 7m = 0

Solving
3 + 7m = 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 + 7m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7m = 0 + -3
7m = 0 + -3

Combine like terms: 0 + -3 = -3
7m = -3

Divide each side by '7'.
m = -0.4285714286

Simplifying
m = -0.4285714286
Solution
m = {-0.75, -0.4285714286}