s^2=-20-9s

Solution for s^2=-20-9s equation:

Simplifying
s2 = -20 + -9s

Solving
s2 = -20 + -9s

Solving for variable 's'.

Reorder the terms:
20 + 9s + s2 = -20 + -9s + 20 + 9s

Reorder the terms:
20 + 9s + s2 = -20 + 20 + -9s + 9s

Combine like terms: -20 + 20 = 0
20 + 9s + s2 = 0 + -9s + 9s
20 + 9s + s2 = -9s + 9s

Combine like terms: -9s + 9s = 0
20 + 9s + s2 = 0

Factor a trinomial.
(5 + s)(4 + s) = 0

Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve:

Simplifying
5 + s = 0

Solving
5 + s = 0

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

Add '-5' to each side of the equation.
5 + -5 + s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + s = 0 + -5
s = 0 + -5

Combine like terms: 0 + -5 = -5
s = -5

Simplifying
s = -5
Subproblem 2
Set the factor '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

Add '-4' to each side of the equation.
4 + -4 + s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + s = 0 + -4
s = 0 + -4

Combine like terms: 0 + -4 = -4
s = -4

Simplifying
s = -4
Solution
s = {-5, -4}