13x-72=x^2

Solution for 13x-72=x^2 equation:

Simplifying
13x + -72 = x2

Reorder the terms:
-72 + 13x = x2

Solving
-72 + 13x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
-72 + 13x + -1x2 = 0

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

Divide each side by '-1'.
72 + -13x + x2 = 0

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -13x + -72 + x2 = 0 + -72

Reorder the terms:
72 + -72 + -13x + x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -13x + x2 = 0 + -72
-13x + x2 = 0 + -72

Combine like terms: 0 + -72 = -72
-13x + x2 = -72

The x term is -13x.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = -72 + 42.25

Reorder the terms:
42.25 + -13x + x2 = -72 + 42.25

Combine like terms: -72 + 42.25 = -29.75
42.25 + -13x + x2 = -29.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.