c^2=-32-12c

Solution for c^2=-32-12c equation:

Simplifying
c2 = -32 + -12c

Solving
c2 = -32 + -12c

Solving for variable 'c'.

Reorder the terms:
32 + 12c + c2 = -32 + -12c + 32 + 12c

Reorder the terms:
32 + 12c + c2 = -32 + 32 + -12c + 12c

Combine like terms: -32 + 32 = 0
32 + 12c + c2 = 0 + -12c + 12c
32 + 12c + c2 = -12c + 12c

Combine like terms: -12c + 12c = 0
32 + 12c + c2 = 0

Factor a trinomial.
(8 + c)(4 + c) = 0

Subproblem 1
Set the factor '(8 + c)' equal to zero and attempt to solve:

Simplifying
8 + c = 0

Solving
8 + c = 0

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

Add '-8' to each side of the equation.
8 + -8 + c = 0 + -8

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

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

Simplifying
c = -8
Subproblem 2
Set the factor '(4 + c)' equal to zero and attempt to solve:

Simplifying
4 + c = 0

Solving
4 + c = 0

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

Add '-4' to each side of the equation.
4 + -4 + c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + c = 0 + -4
c = 0 + -4

Combine like terms: 0 + -4 = -4
c = -4

Simplifying
c = -4
Solution
c = {-8, -4}