s^2=-18-9s

Solution for s^2=-18-9s equation:

Simplifying
s2 = -18 + -9s

Solving
s2 = -18 + -9s

Solving for variable 's'.

Reorder the terms:
18 + 9s + s2 = -18 + -9s + 18 + 9s

Reorder the terms:
18 + 9s + s2 = -18 + 18 + -9s + 9s

Combine like terms: -18 + 18 = 0
18 + 9s + s2 = 0 + -9s + 9s
18 + 9s + s2 = -9s + 9s

Combine like terms: -9s + 9s = 0
18 + 9s + s2 = 0

Factor a trinomial.
(6 + s)(3 + s) = 0

Subproblem 1
Set the factor '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

Solving
6 + s = 0

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

Add '-6' to each side of the equation.
6 + -6 + s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + s = 0 + -6
s = 0 + -6

Combine like terms: 0 + -6 = -6
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(3 + s)' equal to zero and attempt to solve:

Simplifying
3 + s = 0

Solving
3 + s = 0

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

Add '-3' to each side of the equation.
3 + -3 + s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + s = 0 + -3
s = 0 + -3

Combine like terms: 0 + -3 = -3
s = -3

Simplifying
s = -3
Solution
s = {-6, -3}