-s^2-6s+91=0

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Solution for -s^2-6s+91=0 equation: 


Simplifying
-1s2 + -6s + 91 = 0

Reorder the terms:
91 + -6s + -1s2 = 0

Solving
91 + -6s + -1s2 = 0

Solving for variable 's'.

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


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

Simplifying
7 + -1s = 0

Solving
7 + -1s = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1s = 0 + -7

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

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

Divide each side by '-1'.
s = 7

Simplifying
s = 7

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

Simplifying
13 + s = 0

Solving
13 + s = 0

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

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

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

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

Simplifying
s = -13
Solution
s = {7, -13}

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