-2c^2+16c-32=0

Solution for -2c^2+16c-32=0 equation:

Simplifying
-2c2 + 16c + -32 = 0

Reorder the terms:
-32 + 16c + -2c2 = 0

Solving
-32 + 16c + -2c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 8c + -1c2) = 0

Factor a trinomial.
2((-4 + c)(4 + -1c)) = 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 + -1c)' equal to zero and attempt to solve:

Simplifying
4 + -1c = 0

Solving
4 + -1c = 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 + -1c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1c = 0 + -4
-1c = 0 + -4

Combine like terms: 0 + -4 = -4
-1c = -4

Divide each side by '-1'.
c = 4

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