12-6c-5-c^2=

Solution for 12-6c-5-c^2= equation:

Simplifying
12 + -6c + -5 + -1c2 = 0

Reorder the terms:
12 + -5 + -6c + -1c2 = 0

Combine like terms: 12 + -5 = 7
7 + -6c + -1c2 = 0

Solving
7 + -6c + -1c2 = 0

Solving for variable 'c'.

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

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

Simplifying
1 + -1c = 0

Solving
1 + -1c = 0

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

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

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

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

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

Simplifying
c = 1
Subproblem 2
Set the factor '(7 + c)' equal to zero and attempt to solve:

Simplifying
7 + c = 0

Solving
7 + c = 0

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

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

Combine like terms: 7 + -7 = 0
0 + c = 0 + -7
c = 0 + -7

Combine like terms: 0 + -7 = -7
c = -7

Simplifying
c = -7
Solution
c = {1, -7}