k^2+13k+22=0

Solution for k^2+13k+22=0 equation:

Simplifying
k2 + 13k + 22 = 0

Reorder the terms:
22 + 13k + k2 = 0

Solving
22 + 13k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(11 + k)(2 + k) = 0

Subproblem 1
Set the factor '(11 + k)' equal to zero and attempt to solve:

Simplifying
11 + k = 0

Solving
11 + k = 0

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

Add '-11' to each side of the equation.
11 + -11 + k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + k = 0 + -11
k = 0 + -11

Combine like terms: 0 + -11 = -11
k = -11

Simplifying
k = -11
Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

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

Add '-2' to each side of the equation.
2 + -2 + k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k = 0 + -2
k = 0 + -2

Combine like terms: 0 + -2 = -2
k = -2

Simplifying
k = -2
Solution
k = {-11, -2}