91s^2+s-2=0

Solution for 91s^2+s-2=0 equation:

Simplifying
91s2 + s + -2 = 0

Reorder the terms:
-2 + s + 91s2 = 0

Solving
-2 + s + 91s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-2 + -13s)(1 + -7s) = 0

Subproblem 1
Set the factor '(-2 + -13s)' equal to zero and attempt to solve:

Simplifying
-2 + -13s = 0

Solving
-2 + -13s = 0

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

Add '2' to each side of the equation.
-2 + 2 + -13s = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -13s = 0 + 2
-13s = 0 + 2

Combine like terms: 0 + 2 = 2
-13s = 2

Divide each side by '-13'.
s = -0.1538461538

Simplifying
s = -0.1538461538
Subproblem 2
Set the factor '(1 + -7s)' equal to zero and attempt to solve:

Simplifying
1 + -7s = 0

Solving
1 + -7s = 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 + -7s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7s = 0 + -1
-7s = 0 + -1

Combine like terms: 0 + -1 = -1
-7s = -1

Divide each side by '-7'.
s = 0.1428571429

Simplifying
s = 0.1428571429
Solution
s = {-0.1538461538, 0.1428571429}