9s+s^2+14=0

Solution for 9s+s^2+14=0 equation:

Simplifying
9s + s2 + 14 = 0

Reorder the terms:
14 + 9s + s2 = 0

Solving
14 + 9s + s2 = 0

Solving for variable 's'.

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

Subproblem 1
Set the factor '(7 + s)' equal to zero and attempt to solve:

Simplifying
7 + s = 0

Solving
7 + s = 0

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

Add '-7' to each side of the equation.
7 + -7 + s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + s = 0 + -7
s = 0 + -7

Combine like terms: 0 + -7 = -7
s = -7

Simplifying
s = -7
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 = {-7, -2}