0=x^2-23x+338

Solution for 0=x^2-23x+338 equation:

Simplifying
0 = x2 + -23x + 338

Reorder the terms:
0 = 338 + -23x + x2

Solving
0 = 338 + -23x + x2

Solving for variable 'x'.

Combine like terms: 0 + -338 = -338
-338 + 23x + -1x2 = 338 + -23x + x2 + -338 + 23x + -1x2

Reorder the terms:
-338 + 23x + -1x2 = 338 + -338 + -23x + 23x + x2 + -1x2

Combine like terms: 338 + -338 = 0
-338 + 23x + -1x2 = 0 + -23x + 23x + x2 + -1x2
-338 + 23x + -1x2 = -23x + 23x + x2 + -1x2

Combine like terms: -23x + 23x = 0
-338 + 23x + -1x2 = 0 + x2 + -1x2
-338 + 23x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-338 + 23x + -1x2 = 0

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

Divide each side by '-1'.
338 + -23x + x2 = 0

Move the constant term to the right:

Add '-338' to each side of the equation.
338 + -23x + -338 + x2 = 0 + -338

Reorder the terms:
338 + -338 + -23x + x2 = 0 + -338

Combine like terms: 338 + -338 = 0
0 + -23x + x2 = 0 + -338
-23x + x2 = 0 + -338

Combine like terms: 0 + -338 = -338
-23x + x2 = -338

The x term is -23x.  Take half its coefficient (-11.5).
Square it (132.25) and add it to both sides.

Add '132.25' to each side of the equation.
-23x + 132.25 + x2 = -338 + 132.25

Reorder the terms:
132.25 + -23x + x2 = -338 + 132.25

Combine like terms: -338 + 132.25 = -205.75
132.25 + -23x + x2 = -205.75

Factor a perfect square on the left side:
(x + -11.5)(x + -11.5) = -205.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.