2x^2-23x+300=0

Solution for 2x^2-23x+300=0 equation:

Simplifying
2x2 + -23x + 300 = 0

Reorder the terms:
300 + -23x + 2x2 = 0

Solving
300 + -23x + 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'.
150 + -11.5x + x2 = 0

Move the constant term to the right:

Add '-150' to each side of the equation.
150 + -11.5x + -150 + x2 = 0 + -150

Reorder the terms:
150 + -150 + -11.5x + x2 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -11.5x + x2 = 0 + -150
-11.5x + x2 = 0 + -150

Combine like terms: 0 + -150 = -150
-11.5x + x2 = -150

The x term is -11.5x.  Take half its coefficient (-5.75).
Square it (33.0625) and add it to both sides.

Add '33.0625' to each side of the equation.
-11.5x + 33.0625 + x2 = -150 + 33.0625

Reorder the terms:
33.0625 + -11.5x + x2 = -150 + 33.0625

Combine like terms: -150 + 33.0625 = -116.9375
33.0625 + -11.5x + x2 = -116.9375

Factor a perfect square on the left side:
(x + -5.75)(x + -5.75) = -116.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.