12s^2+17s-5=0

Solution for 12s^2+17s-5=0 equation:

Simplifying
12s2 + 17s + -5 = 0

Reorder the terms:
-5 + 17s + 12s2 = 0

Solving
-5 + 17s + 12s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-5 + -3s)(1 + -4s) = 0

Subproblem 1
Set the factor '(-5 + -3s)' equal to zero and attempt to solve:

Simplifying
-5 + -3s = 0

Solving
-5 + -3s = 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 + -3s = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3s = 0 + 5
-3s = 0 + 5

Combine like terms: 0 + 5 = 5
-3s = 5

Divide each side by '-3'.
s = -1.666666667

Simplifying
s = -1.666666667
Subproblem 2
Set the factor '(1 + -4s)' equal to zero and attempt to solve:

Simplifying
1 + -4s = 0

Solving
1 + -4s = 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 + -4s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4s = 0 + -1
-4s = 0 + -1

Combine like terms: 0 + -1 = -1
-4s = -1

Divide each side by '-4'.
s = 0.25

Simplifying
s = 0.25
Solution
s = {-1.666666667, 0.25}