5s^2+24s-5=

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

Simplifying
5s2 + 24s + -5 = 0

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

Solving
-5 + 24s + 5s2 = 0

Solving for variable 's'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -5s)' equal to zero and attempt to solve:

Simplifying
1 + -5s = 0

Solving
1 + -5s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5s = 0 + -1

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

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

Divide each side by '-5'.
s = 0.2

Simplifying
s = 0.2
Solution
s = {-5, 0.2}