-c^2-5c+66=

Solution for -c^2-5c+66= equation:

Simplifying
-1c2 + -5c + 66 = 0

Reorder the terms:
66 + -5c + -1c2 = 0

Solving
66 + -5c + -1c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6 + -1c)(11 + c) = 0

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

Simplifying
6 + -1c = 0

Solving
6 + -1c = 0

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

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

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

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

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

Simplifying
c = 6
Subproblem 2
Set the factor '(11 + c)' equal to zero and attempt to solve:

Simplifying
11 + c = 0

Solving
11 + c = 0

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

Add '-11' to each side of the equation.
11 + -11 + c = 0 + -11

Combine like terms: 11 + -11 = 0
0 + c = 0 + -11
c = 0 + -11

Combine like terms: 0 + -11 = -11
c = -11

Simplifying
c = -11
Solution
c = {6, -11}