11s+s^2+18=0

Solution for 11s+s^2+18=0 equation:

Simplifying
11s + s2 + 18 = 0

Reorder the terms:
18 + 11s + s2 = 0

Solving
18 + 11s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(9 + s)(2 + s) = 0

Subproblem 1
Set the factor '(9 + s)' equal to zero and attempt to solve:

Simplifying
9 + s = 0

Solving
9 + s = 0

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

Add '-9' to each side of the equation.
9 + -9 + s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + s = 0 + -9
s = 0 + -9

Combine like terms: 0 + -9 = -9
s = -9

Simplifying
s = -9
Subproblem 2
Set the factor '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 0

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

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

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

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

Simplifying
s = -2
Solution
s = {-9, -2}