-2c(-c-16)=-2c-16

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Solution for -2c(-c-16)=-2c-16 equation: 


Simplifying
-2c(-1c + -16) = -2c + -16

Reorder the terms:
-2c(-16 + -1c) = -2c + -16
(-16 * -2c + -1c * -2c) = -2c + -16
(32c + 2c2) = -2c + -16

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

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

Solving for variable 'c'.

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

Combine like terms: 32c + 2c = 34c
16 + 34c + 2c2 = -16 + -2c + 16 + 2c

Reorder the terms:
16 + 34c + 2c2 = -16 + 16 + -2c + 2c

Combine like terms: -16 + 16 = 0
16 + 34c + 2c2 = 0 + -2c + 2c
16 + 34c + 2c2 = -2c + 2c

Combine like terms: -2c + 2c = 0
16 + 34c + 2c2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 17c + c2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + 17c + c2)' equal to zero and attempt to solve:

Simplifying
8 + 17c + c2 = 0

Solving
8 + 17c + c2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 17c + -8 + c2 = 0 + -8

Reorder the terms:
8 + -8 + 17c + c2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 17c + c2 = 0 + -8
17c + c2 = 0 + -8

Combine like terms: 0 + -8 = -8
17c + c2 = -8

The c term is 17c.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17c + 72.25 + c2 = -8 + 72.25

Reorder the terms:
72.25 + 17c + c2 = -8 + 72.25

Combine like terms: -8 + 72.25 = 64.25
72.25 + 17c + c2 = 64.25

Factor a perfect square on the left side:
(c + 8.5)(c + 8.5) = 64.25

Calculate the square root of the right side: 8.015609771

Break this problem into two subproblems by setting 
(c + 8.5) equal to 8.015609771 and -8.015609771.


Subproblem 1
c + 8.5 = 8.015609771

Simplifying
c + 8.5 = 8.015609771

Reorder the terms:
8.5 + c = 8.015609771

Solving
8.5 + c = 8.015609771

Solving for variable 'c'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + c = 8.015609771 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + c = 8.015609771 + -8.5
c = 8.015609771 + -8.5

Combine like terms: 8.015609771 + -8.5 = -0.484390229
c = -0.484390229

Simplifying
c = -0.484390229


Subproblem 2
c + 8.5 = -8.015609771

Simplifying
c + 8.5 = -8.015609771

Reorder the terms:
8.5 + c = -8.015609771

Solving
8.5 + c = -8.015609771

Solving for variable 'c'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + c = -8.015609771 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + c = -8.015609771 + -8.5
c = -8.015609771 + -8.5

Combine like terms: -8.015609771 + -8.5 = -16.515609771
c = -16.515609771

Simplifying
c = -16.515609771


Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {-0.484390229, -16.515609771}
Solution
c = {-0.484390229, -16.515609771}

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