(3m+4)(m+5)=0

Solution for (3m+4)(m+5)=0 equation:

Simplifying
(3m + 4)(m + 5) = 0

Reorder the terms:
(4 + 3m)(m + 5) = 0

Reorder the terms:
(4 + 3m)(5 + m) = 0

Multiply (4 + 3m) * (5 + m)
(4(5 + m) + 3m * (5 + m)) = 0
((5 * 4 + m * 4) + 3m * (5 + m)) = 0
((20 + 4m) + 3m * (5 + m)) = 0
(20 + 4m + (5 * 3m + m * 3m)) = 0
(20 + 4m + (15m + 3m2)) = 0

Combine like terms: 4m + 15m = 19m
(20 + 19m + 3m2) = 0

Solving
20 + 19m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + m)(4 + 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 '(4 + 3m)' equal to zero and attempt to solve:

Simplifying
4 + 3m = 0

Solving
4 + 3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3m = 0 + -4
3m = 0 + -4

Combine like terms: 0 + -4 = -4
3m = -4

Divide each side by '3'.
m = -1.333333333

Simplifying
m = -1.333333333
Solution
m = {-5, -1.333333333}