c+2=c^2-4c-4c+16

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


Simplifying
c + 2 = c2 + -4c + -4c + 16

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

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

Combine like terms: -4c + -4c = -8c
2 + c = 16 + -8c + c2

Solving
2 + c = 16 + -8c + c2

Solving for variable 'c'.

Reorder the terms:
2 + -16 + c + 8c + -1c2 = 16 + -8c + c2 + -16 + 8c + -1c2

Combine like terms: 2 + -16 = -14
-14 + c + 8c + -1c2 = 16 + -8c + c2 + -16 + 8c + -1c2

Combine like terms: c + 8c = 9c
-14 + 9c + -1c2 = 16 + -8c + c2 + -16 + 8c + -1c2

Reorder the terms:
-14 + 9c + -1c2 = 16 + -16 + -8c + 8c + c2 + -1c2

Combine like terms: 16 + -16 = 0
-14 + 9c + -1c2 = 0 + -8c + 8c + c2 + -1c2
-14 + 9c + -1c2 = -8c + 8c + c2 + -1c2

Combine like terms: -8c + 8c = 0
-14 + 9c + -1c2 = 0 + c2 + -1c2
-14 + 9c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
-14 + 9c + -1c2 = 0

Factor a trinomial.
(-7 + c)(2 + -1c) = 0


Subproblem 1
Set the factor '(-7 + c)' equal to zero and attempt to solve:

Simplifying
-7 + c = 0

Solving
-7 + c = 0

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

Add '7' to each side of the equation.
-7 + 7 + c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + c = 0 + 7
c = 0 + 7

Combine like terms: 0 + 7 = 7
c = 7

Simplifying
c = 7

Subproblem 2
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
Solution
c = {7, 2}

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