2x^2-54x+559=0

Solution for 2x^2-54x+559=0 equation:

Simplifying
2x2 + -54x + 559 = 0

Reorder the terms:
559 + -54x + 2x2 = 0

Solving
559 + -54x + 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'.
279.5 + -27x + x2 = 0

Move the constant term to the right:

Add '-279.5' to each side of the equation.
279.5 + -27x + -279.5 + x2 = 0 + -279.5

Reorder the terms:
279.5 + -279.5 + -27x + x2 = 0 + -279.5

Combine like terms: 279.5 + -279.5 = 0.0
0.0 + -27x + x2 = 0 + -279.5
-27x + x2 = 0 + -279.5

Combine like terms: 0 + -279.5 = -279.5
-27x + x2 = -279.5

The x term is -27x.  Take half its coefficient (-13.5).
Square it (182.25) and add it to both sides.

Add '182.25' to each side of the equation.
-27x + 182.25 + x2 = -279.5 + 182.25

Reorder the terms:
182.25 + -27x + x2 = -279.5 + 182.25

Combine like terms: -279.5 + 182.25 = -97.25
182.25 + -27x + x2 = -97.25

Factor a perfect square on the left side:
(x + -13.5)(x + -13.5) = -97.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.