-4c(-c-8)=-4-8

Solution for -4c(-c-8)=-4-8 equation:

Simplifying
-4c(-1c + -8) = -4 + -8

Reorder the terms:
-4c(-8 + -1c) = -4 + -8
(-8 * -4c + -1c * -4c) = -4 + -8
(32c + 4c2) = -4 + -8

Combine like terms: -4 + -8 = -12
32c + 4c2 = -12

Solving
32c + 4c2 = -12

Solving for variable 'c'.

Reorder the terms:
12 + 32c + 4c2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 32c + 4c2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 8c + c2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + 8c + c2)' equal to zero and attempt to solve:

Simplifying
3 + 8c + c2 = 0

Solving
3 + 8c + c2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 8c + -3 + c2 = 0 + -3

Reorder the terms:
3 + -3 + 8c + c2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8c + c2 = 0 + -3
8c + c2 = 0 + -3

Combine like terms: 0 + -3 = -3
8c + c2 = -3

The c term is 8c.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8c + 16 + c2 = -3 + 16

Reorder the terms:
16 + 8c + c2 = -3 + 16

Combine like terms: -3 + 16 = 13
16 + 8c + c2 = 13

Factor a perfect square on the left side:
(c + 4)(c + 4) = 13

Calculate the square root of the right side: 3.605551275

Break this problem into two subproblems by setting 
(c + 4) equal to 3.605551275 and -3.605551275.

Subproblem 1
c + 4 = 3.605551275

Simplifying
c + 4 = 3.605551275

Reorder the terms:
4 + c = 3.605551275

Solving
4 + c = 3.605551275

Solving for variable 'c'.

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 = 3.605551275 + -4

Combine like terms: 4 + -4 = 0
0 + c = 3.605551275 + -4
c = 3.605551275 + -4

Combine like terms: 3.605551275 + -4 = -0.394448725
c = -0.394448725

Simplifying
c = -0.394448725

Subproblem 2
c + 4 = -3.605551275

Simplifying
c + 4 = -3.605551275

Reorder the terms:
4 + c = -3.605551275

Solving
4 + c = -3.605551275

Solving for variable 'c'.

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 = -3.605551275 + -4

Combine like terms: 4 + -4 = 0
0 + c = -3.605551275 + -4
c = -3.605551275 + -4

Combine like terms: -3.605551275 + -4 = -7.605551275
c = -7.605551275

Simplifying
c = -7.605551275

Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {-0.394448725, -7.605551275}
Solution
c = {-0.394448725, -7.605551275}