32+4c(c-1)=(4c+5)

Solution for 32+4c(c-1)=(4c+5) equation:

Simplifying
32 + 4c(c + -1) = (4c + 5)

Reorder the terms:
32 + 4c(-1 + c) = (4c + 5)
32 + (-1 * 4c + c * 4c) = (4c + 5)
32 + (-4c + 4c2) = (4c + 5)

Reorder the terms:
32 + -4c + 4c2 = (5 + 4c)

Remove parenthesis around (5 + 4c)
32 + -4c + 4c2 = 5 + 4c

Solving
32 + -4c + 4c2 = 5 + 4c

Solving for variable 'c'.

Reorder the terms:
32 + -5 + -4c + -4c + 4c2 = 5 + 4c + -5 + -4c

Combine like terms: 32 + -5 = 27
27 + -4c + -4c + 4c2 = 5 + 4c + -5 + -4c

Combine like terms: -4c + -4c = -8c
27 + -8c + 4c2 = 5 + 4c + -5 + -4c

Reorder the terms:
27 + -8c + 4c2 = 5 + -5 + 4c + -4c

Combine like terms: 5 + -5 = 0
27 + -8c + 4c2 = 0 + 4c + -4c
27 + -8c + 4c2 = 4c + -4c

Combine like terms: 4c + -4c = 0
27 + -8c + 4c2 = 0

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

Divide each side by '4'.
6.75 + -2c + c2 = 0

Move the constant term to the right:

Add '-6.75' to each side of the equation.
6.75 + -2c + -6.75 + c2 = 0 + -6.75

Reorder the terms:
6.75 + -6.75 + -2c + c2 = 0 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + -2c + c2 = 0 + -6.75
-2c + c2 = 0 + -6.75

Combine like terms: 0 + -6.75 = -6.75
-2c + c2 = -6.75

The c term is -2c.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2c + 1 + c2 = -6.75 + 1

Reorder the terms:
1 + -2c + c2 = -6.75 + 1

Combine like terms: -6.75 + 1 = -5.75
1 + -2c + c2 = -5.75

Factor a perfect square on the left side:
(c + -1)(c + -1) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.