(k+4)(k+3)=0

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

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

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

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

Multiply (4 + k) * (3 + k)
(4(3 + k) + k(3 + k)) = 0
((3 * 4 + k * 4) + k(3 + k)) = 0
((12 + 4k) + k(3 + k)) = 0
(12 + 4k + (3 * k + k * k)) = 0
(12 + 4k + (3k + k2)) = 0

Combine like terms: 4k + 3k = 7k
(12 + 7k + k2) = 0

Solving
12 + 7k + k2 = 0

Solving for variable 'k'.

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

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

Simplifying
4 + k = 0

Solving
4 + k = 0

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

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

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

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

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

Simplifying
3 + k = 0

Solving
3 + k = 0

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

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

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

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

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