s^2+22s-33=15

Solution for s^2+22s-33=15 equation:

Simplifying
s2 + 22s + -33 = 15

Reorder the terms:
-33 + 22s + s2 = 15

Solving
-33 + 22s + s2 = 15

Solving for variable 's'.

Reorder the terms:
-33 + -15 + 22s + s2 = 15 + -15

Combine like terms: -33 + -15 = -48
-48 + 22s + s2 = 15 + -15

Combine like terms: 15 + -15 = 0
-48 + 22s + s2 = 0

Factor a trinomial.
(-24 + -1s)(2 + -1s) = 0

Subproblem 1
Set the factor '(-24 + -1s)' equal to zero and attempt to solve:

Simplifying
-24 + -1s = 0

Solving
-24 + -1s = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1s = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1s = 0 + 24
-1s = 0 + 24

Combine like terms: 0 + 24 = 24
-1s = 24

Divide each side by '-1'.
s = -24

Simplifying
s = -24
Subproblem 2
Set the factor '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 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 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {-24, 2}