s^2+8s-33=0

Solution for s^2+8s-33=0 equation:

Simplifying
s2 + 8s + -33 = 0

Reorder the terms:
-33 + 8s + s2 = 0

Solving
-33 + 8s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-11 + -1s)(3 + -1s) = 0

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

Simplifying
-11 + -1s = 0

Solving
-11 + -1s = 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 + -1s = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1s = 0 + 11
-1s = 0 + 11

Combine like terms: 0 + 11 = 11
-1s = 11

Divide each side by '-1'.
s = -11

Simplifying
s = -11
Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 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 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

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