2c-120=c^2

Solution for 2c-120=c^2 equation:

Simplifying
2c + -120 = c2

Reorder the terms:
-120 + 2c = c2

Solving
-120 + 2c = c2

Solving for variable 'c'.

Combine like terms: c2 + -1c2 = 0
-120 + 2c + -1c2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
120 + -2c + c2 = 0

Move the constant term to the right:

Add '-120' to each side of the equation.
120 + -2c + -120 + c2 = 0 + -120

Reorder the terms:
120 + -120 + -2c + c2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -2c + c2 = 0 + -120
-2c + c2 = 0 + -120

Combine like terms: 0 + -120 = -120
-2c + c2 = -120

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 = -120 + 1

Reorder the terms:
1 + -2c + c2 = -120 + 1

Combine like terms: -120 + 1 = -119
1 + -2c + c2 = -119

Factor a perfect square on the left side:
(c + -1)(c + -1) = -119

Can't calculate square root of the right side.

The solution to this equation could not be determined.