2x^2-22x+85=0

Solution for 2x^2-22x+85=0 equation:

Simplifying
2x2 + -22x + 85 = 0

Reorder the terms:
85 + -22x + 2x2 = 0

Solving
85 + -22x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
42.5 + -11x + x2 = 0

Move the constant term to the right:

Add '-42.5' to each side of the equation.
42.5 + -11x + -42.5 + x2 = 0 + -42.5

Reorder the terms:
42.5 + -42.5 + -11x + x2 = 0 + -42.5

Combine like terms: 42.5 + -42.5 = 0.0
0.0 + -11x + x2 = 0 + -42.5
-11x + x2 = 0 + -42.5

Combine like terms: 0 + -42.5 = -42.5
-11x + x2 = -42.5

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -42.5 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -42.5 + 30.25

Combine like terms: -42.5 + 30.25 = -12.25
30.25 + -11x + x2 = -12.25

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -12.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.