(8m+3)(5m+1)=0

Solution for (8m+3)(5m+1)=0 equation:

Simplifying
(8m + 3)(5m + 1) = 0

Reorder the terms:
(3 + 8m)(5m + 1) = 0

Reorder the terms:
(3 + 8m)(1 + 5m) = 0

Multiply (3 + 8m) * (1 + 5m)
(3(1 + 5m) + 8m * (1 + 5m)) = 0
((1 * 3 + 5m * 3) + 8m * (1 + 5m)) = 0
((3 + 15m) + 8m * (1 + 5m)) = 0
(3 + 15m + (1 * 8m + 5m * 8m)) = 0
(3 + 15m + (8m + 40m2)) = 0

Combine like terms: 15m + 8m = 23m
(3 + 23m + 40m2) = 0

Solving
3 + 23m + 40m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + 8m)(1 + 5m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 5m)' equal to zero and attempt to solve:

Simplifying
1 + 5m = 0

Solving
1 + 5m = 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 + 5m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5m = 0 + -1
5m = 0 + -1

Combine like terms: 0 + -1 = -1
5m = -1

Divide each side by '5'.
m = -0.2

Simplifying
m = -0.2
Solution
m = {-0.375, -0.2}