8s^2-30s+18=0

Solution for 8s^2-30s+18=0 equation:

Simplifying
8s2 + -30s + 18 = 0

Reorder the terms:
18 + -30s + 8s2 = 0

Solving
18 + -30s + 8s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -15s + 4s2) = 0

Factor a trinomial.
2((3 + -4s)(3 + -1s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -4s)' equal to zero and attempt to solve:

Simplifying
3 + -4s = 0

Solving
3 + -4s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4s = 0 + -3
-4s = 0 + -3

Combine like terms: 0 + -3 = -3
-4s = -3

Divide each side by '-4'.
s = 0.75

Simplifying
s = 0.75
Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

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

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

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {0.75, 3}