-c^2-9c+22=

Solution for -c^2-9c+22= equation:

Simplifying
-1c2 + -9c + 22 = 0

Reorder the terms:
22 + -9c + -1c2 = 0

Solving
22 + -9c + -1c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2 + -1c)(11 + c) = 0

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

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
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 = {2, -11}