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 + -4s)(5 + -1s) = 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 '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 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 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-0.75, 5}