2x^2-18x+65=0

Solution for 2x^2-18x+65=0 equation:

Simplifying
2x2 + -18x + 65 = 0

Reorder the terms:
65 + -18x + 2x2 = 0

Solving
65 + -18x + 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'.
32.5 + -9x + x2 = 0

Move the constant term to the right:

Add '-32.5' to each side of the equation.
32.5 + -9x + -32.5 + x2 = 0 + -32.5

Reorder the terms:
32.5 + -32.5 + -9x + x2 = 0 + -32.5

Combine like terms: 32.5 + -32.5 = 0.0
0.0 + -9x + x2 = 0 + -32.5
-9x + x2 = 0 + -32.5

Combine like terms: 0 + -32.5 = -32.5
-9x + x2 = -32.5

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = -32.5 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -32.5 + 20.25

Combine like terms: -32.5 + 20.25 = -12.25
20.25 + -9x + x2 = -12.25

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = -12.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.