(8m+3)(6m+5)=

Solution for (8m+3)(6m+5)= equation:

Simplifying
(8m + 3)(6m + 5) = 0

Reorder the terms:
(3 + 8m)(6m + 5) = 0

Reorder the terms:
(3 + 8m)(5 + 6m) = 0

Multiply (3 + 8m) * (5 + 6m)
(3(5 + 6m) + 8m * (5 + 6m)) = 0
((5 * 3 + 6m * 3) + 8m * (5 + 6m)) = 0
((15 + 18m) + 8m * (5 + 6m)) = 0
(15 + 18m + (5 * 8m + 6m * 8m)) = 0
(15 + 18m + (40m + 48m2)) = 0

Combine like terms: 18m + 40m = 58m
(15 + 58m + 48m2) = 0

Solving
15 + 58m + 48m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + 6m)(3 + 8m) = 0

Subproblem 1
Set the factor '(5 + 6m)' equal to zero and attempt to solve:

Simplifying
5 + 6m = 0

Solving
5 + 6m = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6m = 0 + -5
6m = 0 + -5

Combine like terms: 0 + -5 = -5
6m = -5

Divide each side by '6'.
m = -0.8333333333

Simplifying
m = -0.8333333333
Subproblem 2
Set the factor '(3 + 8m)' equal to zero and attempt to solve:

Simplifying
3 + 8m = 0

Solving
3 + 8m = 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 + 8m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8m = 0 + -3
8m = 0 + -3

Combine like terms: 0 + -3 = -3
8m = -3

Divide each side by '8'.
m = -0.375

Simplifying
m = -0.375
Solution
m = {-0.8333333333, -0.375}