s^2-13s+22=0

Solution for s^2-13s+22=0 equation:

Simplifying
s2 + -13s + 22 = 0

Reorder the terms:
22 + -13s + s2 = 0

Solving
22 + -13s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(2 + -1s)(11 + -1s) = 0

Subproblem 1
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
Subproblem 2
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
Solution
s = {2, 11}