c^2+8c=-12

Solution for c^2+8c=-12 equation:

Simplifying
c2 + 8c = -12

Reorder the terms:
8c + c2 = -12

Solving
8c + c2 = -12

Solving for variable 'c'.

Reorder the terms:
12 + 8c + c2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 8c + c2 = 0

Factor a trinomial.
(6 + c)(2 + c) = 0

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

Simplifying
6 + c = 0

Solving
6 + c = 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 + c = 0 + -6

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

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

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

Simplifying
2 + c = 0

Solving
2 + c = 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 + c = 0 + -2

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

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

Simplifying
c = -2
Solution
c = {-6, -2}