7(c-9)=(2c-8)4c

Solution for 7(c-9)=(2c-8)4c equation:

Simplifying
7(c + -9) = (2c + -8) * 4c

Reorder the terms:
7(-9 + c) = (2c + -8) * 4c
(-9 * 7 + c * 7) = (2c + -8) * 4c
(-63 + 7c) = (2c + -8) * 4c

Reorder the terms:
-63 + 7c = (-8 + 2c) * 4c

Reorder the terms for easier multiplication:
-63 + 7c = 4c(-8 + 2c)
-63 + 7c = (-8 * 4c + 2c * 4c)
-63 + 7c = (-32c + 8c2)

Solving
-63 + 7c = -32c + 8c2

Solving for variable 'c'.

Combine like terms: 7c + 32c = 39c
-63 + 39c + -8c2 = -32c + 8c2 + 32c + -8c2

Reorder the terms:
-63 + 39c + -8c2 = -32c + 32c + 8c2 + -8c2

Combine like terms: -32c + 32c = 0
-63 + 39c + -8c2 = 0 + 8c2 + -8c2
-63 + 39c + -8c2 = 8c2 + -8c2

Combine like terms: 8c2 + -8c2 = 0
-63 + 39c + -8c2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
7.875 + -4.875c + c2 = 0

Move the constant term to the right:

Add '-7.875' to each side of the equation.
7.875 + -4.875c + -7.875 + c2 = 0 + -7.875

Reorder the terms:
7.875 + -7.875 + -4.875c + c2 = 0 + -7.875

Combine like terms: 7.875 + -7.875 = 0.000
0.000 + -4.875c + c2 = 0 + -7.875
-4.875c + c2 = 0 + -7.875

Combine like terms: 0 + -7.875 = -7.875
-4.875c + c2 = -7.875

The c term is -4.875c.  Take half its coefficient (-2.4375).
Square it (5.94140625) and add it to both sides.

Add '5.94140625' to each side of the equation.
-4.875c + 5.94140625 + c2 = -7.875 + 5.94140625

Reorder the terms:
5.94140625 + -4.875c + c2 = -7.875 + 5.94140625

Combine like terms: -7.875 + 5.94140625 = -1.93359375
5.94140625 + -4.875c + c2 = -1.93359375

Factor a perfect square on the left side:
(c + -2.4375)(c + -2.4375) = -1.93359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.