20s^2-61s+36=0

Solution for 20s^2-61s+36=0 equation:

Simplifying
20s2 + -61s + 36 = 0

Reorder the terms:
36 + -61s + 20s2 = 0

Solving
36 + -61s + 20s2 = 0

Solving for variable 's'.

Factor a trinomial.
(4 + -5s)(9 + -4s) = 0

Subproblem 1
Set the factor '(4 + -5s)' equal to zero and attempt to solve:

Simplifying
4 + -5s = 0

Solving
4 + -5s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5s = 0 + -4
-5s = 0 + -4

Combine like terms: 0 + -4 = -4
-5s = -4

Divide each side by '-5'.
s = 0.8

Simplifying
s = 0.8
Subproblem 2
Set the factor '(9 + -4s)' equal to zero and attempt to solve:

Simplifying
9 + -4s = 0

Solving
9 + -4s = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4s = 0 + -9
-4s = 0 + -9

Combine like terms: 0 + -9 = -9
-4s = -9

Divide each side by '-4'.
s = 2.25

Simplifying
s = 2.25
Solution
s = {0.8, 2.25}