-5s^2+26s+24=0

Solution for -5s^2+26s+24=0 equation:

Simplifying
-5s2 + 26s + 24 = 0

Reorder the terms:
24 + 26s + -5s2 = 0

Solving
24 + 26s + -5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(6 + -1s)(4 + 5s) = 0

Subproblem 1
Set the factor '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Subproblem 2
Set the factor '(4 + 5s)' equal to zero and attempt to solve:

Simplifying
4 + 5s = 0

Solving
4 + 5s = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5s = 0 + -4
5s = 0 + -4

Combine like terms: 0 + -4 = -4
5s = -4

Divide each side by '5'.
s = -0.8

Simplifying
s = -0.8
Solution
s = {6, -0.8}