18s^2-11s+1=0

Solution for 18s^2-11s+1=0 equation:

Simplifying
18s2 + -11s + 1 = 0

Reorder the terms:
1 + -11s + 18s2 = 0

Solving
1 + -11s + 18s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -9s)(1 + -2s) = 0

Subproblem 1
Set the factor '(1 + -9s)' equal to zero and attempt to solve:

Simplifying
1 + -9s = 0

Solving
1 + -9s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -9s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9s = 0 + -1
-9s = 0 + -1

Combine like terms: 0 + -1 = -1
-9s = -1

Divide each side by '-9'.
s = 0.1111111111

Simplifying
s = 0.1111111111
Subproblem 2
Set the factor '(1 + -2s)' equal to zero and attempt to solve:

Simplifying
1 + -2s = 0

Solving
1 + -2s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2s = 0 + -1

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

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

Divide each side by '-2'.
s = 0.5

Simplifying
s = 0.5
Solution
s = {0.1111111111, 0.5}