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

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

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

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

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

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

Combine like terms: 1m + 15m = 16m
(5 + 16m + 3m2) = 0

Solving
5 + 16m + 3m2 = 0

Solving for variable 'm'.

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

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

Simplifying
5 + m = 0

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

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

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

Simplifying
m = -5
Subproblem 2
Set the factor '(1 + 3m)' equal to zero and attempt to solve:

Simplifying
1 + 3m = 0

Solving
1 + 3m = 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 + 3m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3m = 0 + -1
3m = 0 + -1

Combine like terms: 0 + -1 = -1
3m = -1

Divide each side by '3'.
m = -0.3333333333

Simplifying
m = -0.3333333333
Solution
m = {-5, -0.3333333333}