c^2-4c=16+2c

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Solution for c^2-4c=16+2c equation: 


Simplifying
c2 + -4c = 16 + 2c

Reorder the terms:
-4c + c2 = 16 + 2c

Solving
-4c + c2 = 16 + 2c

Solving for variable 'c'.

Reorder the terms:
-16 + -4c + -2c + c2 = 16 + 2c + -16 + -2c

Combine like terms: -4c + -2c = -6c
-16 + -6c + c2 = 16 + 2c + -16 + -2c

Reorder the terms:
-16 + -6c + c2 = 16 + -16 + 2c + -2c

Combine like terms: 16 + -16 = 0
-16 + -6c + c2 = 0 + 2c + -2c
-16 + -6c + c2 = 2c + -2c

Combine like terms: 2c + -2c = 0
-16 + -6c + c2 = 0

Factor a trinomial.
(-2 + -1c)(8 + -1c) = 0


Subproblem 1
Set the factor '(-2 + -1c)' equal to zero and attempt to solve:

Simplifying
-2 + -1c = 0

Solving
-2 + -1c = 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 + -1c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1c = 0 + 2
-1c = 0 + 2

Combine like terms: 0 + 2 = 2
-1c = 2

Divide each side by '-1'.
c = -2

Simplifying
c = -2

Subproblem 2
Set the factor '(8 + -1c)' equal to zero and attempt to solve:

Simplifying
8 + -1c = 0

Solving
8 + -1c = 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 + -1c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1c = 0 + -8
-1c = 0 + -8

Combine like terms: 0 + -8 = -8
-1c = -8

Divide each side by '-1'.
c = 8

Simplifying
c = 8
Solution
c = {-2, 8}

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