s^2-18s+80=0

Solution for s^2-18s+80=0 equation:

Simplifying
s2 + -18s + 80 = 0

Reorder the terms:
80 + -18s + s2 = 0

Solving
80 + -18s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(8 + -1s)(10 + -1s) = 0

Subproblem 1
Set the factor '(8 + -1s)' equal to zero and attempt to solve:

Simplifying
8 + -1s = 0

Solving
8 + -1s = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1s = 0 + -8
-1s = 0 + -8

Combine like terms: 0 + -8 = -8
-1s = -8

Divide each side by '-1'.
s = 8

Simplifying
s = 8
Subproblem 2
Set the factor '(10 + -1s)' equal to zero and attempt to solve:

Simplifying
10 + -1s = 0

Solving
10 + -1s = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1s = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1s = 0 + -10
-1s = 0 + -10

Combine like terms: 0 + -10 = -10
-1s = -10

Divide each side by '-1'.
s = 10

Simplifying
s = 10
Solution
s = {8, 10}