(8m+2)(6m+5)=0

Solution for (8m+2)(6m+5)=0 equation:

Simplifying
(8m + 2)(6m + 5) = 0

Reorder the terms:
(2 + 8m)(6m + 5) = 0

Reorder the terms:
(2 + 8m)(5 + 6m) = 0

Multiply (2 + 8m) * (5 + 6m)
(2(5 + 6m) + 8m * (5 + 6m)) = 0
((5 * 2 + 6m * 2) + 8m * (5 + 6m)) = 0
((10 + 12m) + 8m * (5 + 6m)) = 0
(10 + 12m + (5 * 8m + 6m * 8m)) = 0
(10 + 12m + (40m + 48m2)) = 0

Combine like terms: 12m + 40m = 52m
(10 + 52m + 48m2) = 0

Solving
10 + 52m + 48m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 26m + 24m2) = 0

Factor a trinomial.
2((5 + 6m)(1 + 4m)) = 0

Ignore the factor 2.
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 '(1 + 4m)' equal to zero and attempt to solve:

Simplifying
1 + 4m = 0

Solving
1 + 4m = 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 + 4m = 0 + -1

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

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

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25
Solution
m = {-0.8333333333, -0.25}