36s^2+5s-1=0

Solution for 36s^2+5s-1=0 equation:

Simplifying
36s2 + 5s + -1 = 0

Reorder the terms:
-1 + 5s + 36s2 = 0

Solving
-1 + 5s + 36s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-1 + -4s)(1 + -9s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -9s)' equal to zero and attempt to solve:

Simplifying
1 + -9s = 0

Solving
1 + -9s = 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 + -9s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9s = 0 + -1
-9s = 0 + -1

Combine like terms: 0 + -1 = -1
-9s = -1

Divide each side by '-9'.
s = 0.1111111111

Simplifying
s = 0.1111111111
Solution
s = {-0.25, 0.1111111111}