20s^2+37s+15=0

Solution for 20s^2+37s+15=0 equation:

Simplifying
20s2 + 37s + 15 = 0

Reorder the terms:
15 + 37s + 20s2 = 0

Solving
15 + 37s + 20s2 = 0

Solving for variable 's'.

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

Subproblem 1
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
Subproblem 2
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
Solution
s = {-1.25, -0.6}