8s^2+61s-24=0

Solution for 8s^2+61s-24=0 equation:

Simplifying
8s2 + 61s + -24 = 0

Reorder the terms:
-24 + 61s + 8s2 = 0

Solving
-24 + 61s + 8s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-8 + -1s)(3 + -8s) = 0

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

Simplifying
-8 + -1s = 0

Solving
-8 + -1s = 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 + -1s = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1s = 0 + 8
-1s = 0 + 8

Combine like terms: 0 + 8 = 8
-1s = 8

Divide each side by '-1'.
s = -8

Simplifying
s = -8
Subproblem 2
Set the factor '(3 + -8s)' equal to zero and attempt to solve:

Simplifying
3 + -8s = 0

Solving
3 + -8s = 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 + -8s = 0 + -3

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

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

Divide each side by '-8'.
s = 0.375

Simplifying
s = 0.375
Solution
s = {-8, 0.375}