k^2+14k+13=0

Solution for k^2+14k+13=0 equation:

Simplifying
k2 + 14k + 13 = 0

Reorder the terms:
13 + 14k + k2 = 0

Solving
13 + 14k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(13 + k)(1 + 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 '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

Solving
1 + k = 0

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

Add '-1' to each side of the equation.
1 + -1 + k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + k = 0 + -1
k = 0 + -1

Combine like terms: 0 + -1 = -1
k = -1

Simplifying
k = -1
Solution
k = {-13, -1}