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

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

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

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

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

Multiply (3 + m) * (4 + m)
(3(4 + m) + m(4 + m)) = 0
((4 * 3 + m * 3) + m(4 + m)) = 0
((12 + 3m) + m(4 + m)) = 0
(12 + 3m + (4 * m + m * m)) = 0
(12 + 3m + (4m + m2)) = 0

Combine like terms: 3m + 4m = 7m
(12 + 7m + m2) = 0

Solving
12 + 7m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4 + m)(3 + m) = 0

Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve:

Simplifying
4 + m = 0

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

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

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

Simplifying
m = -4
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

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

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

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

Simplifying
m = -3
Solution
m = {-4, -3}