4s^2+17s+15=0

Solution for 4s^2+17s+15=0 equation:

Simplifying
4s2 + 17s + 15 = 0

Reorder the terms:
15 + 17s + 4s2 = 0

Solving
15 + 17s + 4s2 = 0

Solving for variable 's'.

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

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

Simplifying
3 + s = 0

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

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

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

Simplifying
s = -3
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 = {-3, -1.25}