15s^2+31s-24=0

Solution for 15s^2+31s-24=0 equation:

Simplifying
15s2 + 31s + -24 = 0

Reorder the terms:
-24 + 31s + 15s2 = 0

Solving
-24 + 31s + 15s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-8 + -3s)(3 + -5s) = 0

Subproblem 1
Set the factor '(-8 + -3s)' equal to zero and attempt to solve:

Simplifying
-8 + -3s = 0

Solving
-8 + -3s = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3s = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3s = 0 + 8
-3s = 0 + 8

Combine like terms: 0 + 8 = 8
-3s = 8

Divide each side by '-3'.
s = -2.666666667

Simplifying
s = -2.666666667
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 = {-2.666666667, 0.6}