s^2+14s+33=

Solution for s^2+14s+33= equation:

Simplifying
s2 + 14s + 33 = 0

Reorder the terms:
33 + 14s + s2 = 0

Solving
33 + 14s + s2 = 0

Solving for variable 's'.

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

Subproblem 1
Set the factor '(11 + s)' equal to zero and attempt to solve:

Simplifying
11 + s = 0

Solving
11 + s = 0

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

Add '-11' to each side of the equation.
11 + -11 + s = 0 + -11

Combine like terms: 11 + -11 = 0
0 + s = 0 + -11
s = 0 + -11

Combine like terms: 0 + -11 = -11
s = -11

Simplifying
s = -11
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 = {-11, -3}