k^2+16k+39=0

Solution for k^2+16k+39=0 equation:

Simplifying
k2 + 16k + 39 = 0

Reorder the terms:
39 + 16k + k2 = 0

Solving
39 + 16k + k2 = 0

Solving for variable 'k'.

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

Subproblem 1
Set the factor '(13 + k)' equal to zero and attempt to solve:

Simplifying
13 + k = 0

Solving
13 + k = 0

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

Add '-13' to each side of the equation.
13 + -13 + k = 0 + -13

Combine like terms: 13 + -13 = 0
0 + k = 0 + -13
k = 0 + -13

Combine like terms: 0 + -13 = -13
k = -13

Simplifying
k = -13
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 = {-13, -3}