8s^2-9s+1=0

Solution for 8s^2-9s+1=0 equation:

Simplifying
8s2 + -9s + 1 = 0

Reorder the terms:
1 + -9s + 8s2 = 0

Solving
1 + -9s + 8s2 = 0

Solving for variable 's'.

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

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

Simplifying
1 + -8s = 0

Solving
1 + -8s = 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 + -8s = 0 + -1

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

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

Divide each side by '-8'.
s = 0.125

Simplifying
s = 0.125
Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve:

Simplifying
1 + -1s = 0

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

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

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

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

Simplifying
s = 1
Solution
s = {0.125, 1}