s^2+18s+17=0

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

Simplifying
s2 + 18s + 17 = 0

Reorder the terms:
17 + 18s + s2 = 0

Solving
17 + 18s + s2 = 0

Solving for variable 's'.

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

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

Simplifying
17 + s = 0

Solving
17 + s = 0

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

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

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

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

Simplifying
s = -17
Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 0

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

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

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

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

Simplifying
s = -1
Solution
s = {-17, -1}