100+c^2-4c+4=c

Solution for 100+c^2-4c+4=c equation:

Simplifying
100 + c2 + -4c + 4 = c

Reorder the terms:
100 + 4 + -4c + c2 = c

Combine like terms: 100 + 4 = 104
104 + -4c + c2 = c

Solving
104 + -4c + c2 = c

Solving for variable 'c'.

Reorder the terms:
104 + -4c + -1c + c2 = c + -1c

Combine like terms: -4c + -1c = -5c
104 + -5c + c2 = c + -1c

Combine like terms: c + -1c = 0
104 + -5c + c2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-104' to each side of the equation.
104 + -5c + -104 + c2 = 0 + -104

Reorder the terms:
104 + -104 + -5c + c2 = 0 + -104

Combine like terms: 104 + -104 = 0
0 + -5c + c2 = 0 + -104
-5c + c2 = 0 + -104

Combine like terms: 0 + -104 = -104
-5c + c2 = -104

The c term is -5c.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5c + 6.25 + c2 = -104 + 6.25

Reorder the terms:
6.25 + -5c + c2 = -104 + 6.25

Combine like terms: -104 + 6.25 = -97.75
6.25 + -5c + c2 = -97.75

Factor a perfect square on the left side:
(c + -2.5)(c + -2.5) = -97.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.