0=x^2-13x+60

Solution for 0=x^2-13x+60 equation:

Simplifying
0 = x2 + -13x + 60

Reorder the terms:
0 = 60 + -13x + x2

Solving
0 = 60 + -13x + x2

Solving for variable 'x'.

Combine like terms: 0 + -60 = -60
-60 + 13x + -1x2 = 60 + -13x + x2 + -60 + 13x + -1x2

Reorder the terms:
-60 + 13x + -1x2 = 60 + -60 + -13x + 13x + x2 + -1x2

Combine like terms: 60 + -60 = 0
-60 + 13x + -1x2 = 0 + -13x + 13x + x2 + -1x2
-60 + 13x + -1x2 = -13x + 13x + x2 + -1x2

Combine like terms: -13x + 13x = 0
-60 + 13x + -1x2 = 0 + x2 + -1x2
-60 + 13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-60 + 13x + -1x2 = 0

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

Divide each side by '-1'.
60 + -13x + x2 = 0

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -13x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + -13x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -13x + x2 = 0 + -60
-13x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
-13x + x2 = -60

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 = -60 + 42.25

Reorder the terms:
42.25 + -13x + x2 = -60 + 42.25

Combine like terms: -60 + 42.25 = -17.75
42.25 + -13x + x2 = -17.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.