20s^2-13s-15=0

Solution for 20s^2-13s-15=0 equation:

Simplifying
20s2 + -13s + -15 = 0

Reorder the terms:
-15 + -13s + 20s2 = 0

Solving
-15 + -13s + 20s2 = 0

Solving for variable 's'.

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

Subproblem 1
Set the factor '(-3 + -5s)' equal to zero and attempt to solve:

Simplifying
-3 + -5s = 0

Solving
-3 + -5s = 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 + -5s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5s = 0 + 3
-5s = 0 + 3

Combine like terms: 0 + 3 = 3
-5s = 3

Divide each side by '-5'.
s = -0.6

Simplifying
s = -0.6
Subproblem 2
Set the factor '(5 + -4s)' equal to zero and attempt to solve:

Simplifying
5 + -4s = 0

Solving
5 + -4s = 0

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

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

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

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

Divide each side by '-4'.
s = 1.25

Simplifying
s = 1.25
Solution
s = {-0.6, 1.25}