(3m+13)(4m+6)=

Solution for (3m+13)(4m+6)= equation:

Simplifying
(3m + 13)(4m + 6) = 0

Reorder the terms:
(13 + 3m)(4m + 6) = 0

Reorder the terms:
(13 + 3m)(6 + 4m) = 0

Multiply (13 + 3m) * (6 + 4m)
(13(6 + 4m) + 3m * (6 + 4m)) = 0
((6 * 13 + 4m * 13) + 3m * (6 + 4m)) = 0
((78 + 52m) + 3m * (6 + 4m)) = 0
(78 + 52m + (6 * 3m + 4m * 3m)) = 0
(78 + 52m + (18m + 12m2)) = 0

Combine like terms: 52m + 18m = 70m
(78 + 70m + 12m2) = 0

Solving
78 + 70m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(39 + 35m + 6m2) = 0

Factor a trinomial.
2((13 + 3m)(3 + 2m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(13 + 3m)' equal to zero and attempt to solve:

Simplifying
13 + 3m = 0

Solving
13 + 3m = 0

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

Add '-13' to each side of the equation.
13 + -13 + 3m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3m = 0 + -13
3m = 0 + -13

Combine like terms: 0 + -13 = -13
3m = -13

Divide each side by '3'.
m = -4.333333333

Simplifying
m = -4.333333333
Subproblem 2
Set the factor '(3 + 2m)' equal to zero and attempt to solve:

Simplifying
3 + 2m = 0

Solving
3 + 2m = 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 + 2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = 0 + -3
2m = 0 + -3

Combine like terms: 0 + -3 = -3
2m = -3

Divide each side by '2'.
m = -1.5

Simplifying
m = -1.5
Solution
m = {-4.333333333, -1.5}