-s^2-7s+78=

Solution for -s^2-7s+78= equation:

Simplifying
-1s2 + -7s + 78 = 0

Reorder the terms:
78 + -7s + -1s2 = 0

Solving
78 + -7s + -1s2 = 0

Solving for variable 's'.

Factor a trinomial.
(6 + -1s)(13 + s) = 0

Subproblem 1
Set the factor '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
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 = {6, -13}