-c^2+8c=-33

Solution for -c^2+8c=-33 equation:

Simplifying
-1c2 + 8c = -33

Reorder the terms:
8c + -1c2 = -33

Solving
8c + -1c2 = -33

Solving for variable 'c'.

Reorder the terms:
33 + 8c + -1c2 = -33 + 33

Combine like terms: -33 + 33 = 0
33 + 8c + -1c2 = 0

Factor a trinomial.
(11 + -1c)(3 + c) = 0

Subproblem 1
Set the factor '(11 + -1c)' equal to zero and attempt to solve:

Simplifying
11 + -1c = 0

Solving
11 + -1c = 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 + -1c = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1c = 0 + -11
-1c = 0 + -11

Combine like terms: 0 + -11 = -11
-1c = -11

Divide each side by '-1'.
c = 11

Simplifying
c = 11
Subproblem 2
Set the factor '(3 + c)' equal to zero and attempt to solve:

Simplifying
3 + c = 0

Solving
3 + c = 0

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

Add '-3' to each side of the equation.
3 + -3 + c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + c = 0 + -3
c = 0 + -3

Combine like terms: 0 + -3 = -3
c = -3

Simplifying
c = -3
Solution
c = {11, -3}