k^2+18k+17=0

Solution for k^2+18k+17=0 equation:

Simplifying
k2 + 18k + 17 = 0

Reorder the terms:
17 + 18k + k2 = 0

Solving
17 + 18k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(17 + k)(1 + k) = 0

Subproblem 1
Set the factor '(17 + k)' equal to zero and attempt to solve:

Simplifying
17 + k = 0

Solving
17 + k = 0

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

Add '-17' to each side of the equation.
17 + -17 + k = 0 + -17

Combine like terms: 17 + -17 = 0
0 + k = 0 + -17
k = 0 + -17

Combine like terms: 0 + -17 = -17
k = -17

Simplifying
k = -17
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 = {-17, -1}