2x^2-18x+43=0

Solution for 2x^2-18x+43=0 equation:

Simplifying
2x2 + -18x + 43 = 0

Reorder the terms:
43 + -18x + 2x2 = 0

Solving
43 + -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'.
21.5 + -9x + x2 = 0

Move the constant term to the right:

Add '-21.5' to each side of the equation.
21.5 + -9x + -21.5 + x2 = 0 + -21.5

Reorder the terms:
21.5 + -21.5 + -9x + x2 = 0 + -21.5

Combine like terms: 21.5 + -21.5 = 0.0
0.0 + -9x + x2 = 0 + -21.5
-9x + x2 = 0 + -21.5

Combine like terms: 0 + -21.5 = -21.5
-9x + x2 = -21.5

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 = -21.5 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -21.5 + 20.25

Combine like terms: -21.5 + 20.25 = -1.25
20.25 + -9x + x2 = -1.25

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.