20s^2-39s+18=0

Solution for 20s^2-39s+18=0 equation:

Simplifying
20s2 + -39s + 18 = 0

Reorder the terms:
18 + -39s + 20s2 = 0

Solving
18 + -39s + 20s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + -4s)(6 + -5s) = 0

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 '(6 + -5s)' equal to zero and attempt to solve:

Simplifying
6 + -5s = 0

Solving
6 + -5s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5s = 0 + -6
-5s = 0 + -6

Combine like terms: 0 + -6 = -6
-5s = -6

Divide each side by '-5'.
s = 1.2

Simplifying
s = 1.2
Solution
s = {0.75, 1.2}