(n+4)(n+3)=0

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

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

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

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

Multiply (4 + n) * (3 + n)
(4(3 + n) + n(3 + n)) = 0
((3 * 4 + n * 4) + n(3 + n)) = 0
((12 + 4n) + n(3 + n)) = 0
(12 + 4n + (3 * n + n * n)) = 0
(12 + 4n + (3n + n2)) = 0

Combine like terms: 4n + 3n = 7n
(12 + 7n + n2) = 0

Solving
12 + 7n + n2 = 0

Solving for variable 'n'.

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

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

Simplifying
4 + n = 0

Solving
4 + n = 0

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

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

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

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

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

Simplifying
3 + n = 0

Solving
3 + n = 0

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

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

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

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

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