15s^2-8s+1=0

Solution for 15s^2-8s+1=0 equation:

Simplifying
15s2 + -8s + 1 = 0

Reorder the terms:
1 + -8s + 15s2 = 0

Solving
1 + -8s + 15s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -5s)(1 + -3s) = 0

Subproblem 1
Set the factor '(1 + -5s)' equal to zero and attempt to solve:

Simplifying
1 + -5s = 0

Solving
1 + -5s = 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 + -5s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5s = 0 + -1
-5s = 0 + -1

Combine like terms: 0 + -1 = -1
-5s = -1

Divide each side by '-5'.
s = 0.2

Simplifying
s = 0.2
Subproblem 2
Set the factor '(1 + -3s)' equal to zero and attempt to solve:

Simplifying
1 + -3s = 0

Solving
1 + -3s = 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 + -3s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3s = 0 + -1
-3s = 0 + -1

Combine like terms: 0 + -1 = -1
-3s = -1

Divide each side by '-3'.
s = 0.3333333333

Simplifying
s = 0.3333333333
Solution
s = {0.2, 0.3333333333}