5c^2-16c=16

Solution for 5c^2-16c=16 equation:

Simplifying
5c2 + -16c = 16

Reorder the terms:
-16c + 5c2 = 16

Solving
-16c + 5c2 = 16

Solving for variable 'c'.

Reorder the terms:
-16 + -16c + 5c2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -16c + 5c2 = 0

Factor a trinomial.
(-4 + -5c)(4 + -1c) = 0

Subproblem 1
Set the factor '(-4 + -5c)' equal to zero and attempt to solve:

Simplifying
-4 + -5c = 0

Solving
-4 + -5c = 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 + -5c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5c = 0 + 4
-5c = 0 + 4

Combine like terms: 0 + 4 = 4
-5c = 4

Divide each side by '-5'.
c = -0.8

Simplifying
c = -0.8
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 = {-0.8, 4}