8=2(2c-5)c

Solution for 8=2(2c-5)c equation:

Simplifying
8 = 2(2c + -5) * c

Reorder the terms:
8 = 2(-5 + 2c) * c

Reorder the terms for easier multiplication:
8 = 2c(-5 + 2c)
8 = (-5 * 2c + 2c * 2c)
8 = (-10c + 4c2)

Solving
8 = -10c + 4c2

Solving for variable 'c'.

Reorder the terms:
8 + 10c + -4c2 = -10c + 10c + 4c2 + -4c2

Combine like terms: -10c + 10c = 0
8 + 10c + -4c2 = 0 + 4c2 + -4c2
8 + 10c + -4c2 = 4c2 + -4c2

Combine like terms: 4c2 + -4c2 = 0
8 + 10c + -4c2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 5c + -2c2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + 5c + -2c2)' equal to zero and attempt to solve:

Simplifying
4 + 5c + -2c2 = 0

Solving
4 + 5c + -2c2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-2 + -2.5c + c2 = 0

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -2.5c + 2 + c2 = 0 + 2

Reorder the terms:
-2 + 2 + -2.5c + c2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -2.5c + c2 = 0 + 2
-2.5c + c2 = 0 + 2

Combine like terms: 0 + 2 = 2
-2.5c + c2 = 2

The c term is -2.5c.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5c + 1.5625 + c2 = 2 + 1.5625

Reorder the terms:
1.5625 + -2.5c + c2 = 2 + 1.5625

Combine like terms: 2 + 1.5625 = 3.5625
1.5625 + -2.5c + c2 = 3.5625

Factor a perfect square on the left side:
(c + -1.25)(c + -1.25) = 3.5625

Calculate the square root of the right side: 1.887458609

Break this problem into two subproblems by setting 
(c + -1.25) equal to 1.887458609 and -1.887458609.

Subproblem 1
c + -1.25 = 1.887458609

Simplifying
c + -1.25 = 1.887458609

Reorder the terms:
-1.25 + c = 1.887458609

Solving
-1.25 + c = 1.887458609

Solving for variable 'c'.

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + c = 1.887458609 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + c = 1.887458609 + 1.25
c = 1.887458609 + 1.25

Combine like terms: 1.887458609 + 1.25 = 3.137458609
c = 3.137458609

Simplifying
c = 3.137458609

Subproblem 2
c + -1.25 = -1.887458609

Simplifying
c + -1.25 = -1.887458609

Reorder the terms:
-1.25 + c = -1.887458609

Solving
-1.25 + c = -1.887458609

Solving for variable 'c'.

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + c = -1.887458609 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + c = -1.887458609 + 1.25
c = -1.887458609 + 1.25

Combine like terms: -1.887458609 + 1.25 = -0.637458609
c = -0.637458609

Simplifying
c = -0.637458609

Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {3.137458609, -0.637458609}
Solution
c = {3.137458609, -0.637458609}