-2c^2-16c=32

Solution for -2c^2-16c=32 equation:

Simplifying
-2c2 + -16c = 32

Reorder the terms:
-16c + -2c2 = 32

Solving
-16c + -2c2 = 32

Solving for variable 'c'.

Reorder the terms:
-32 + -16c + -2c2 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + -16c + -2c2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(16 + 8c + c2) = 0

Factor a trinomial.
-2((4 + c)(4 + c)) = 0

Ignore the factor -2.
Subproblem 1
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
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 = {-4, -4}