2x^2-24x+165=0

Solution for 2x^2-24x+165=0 equation:

Simplifying
2x2 + -24x + 165 = 0

Reorder the terms:
165 + -24x + 2x2 = 0

Solving
165 + -24x + 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'.
82.5 + -12x + x2 = 0

Move the constant term to the right:

Add '-82.5' to each side of the equation.
82.5 + -12x + -82.5 + x2 = 0 + -82.5

Reorder the terms:
82.5 + -82.5 + -12x + x2 = 0 + -82.5

Combine like terms: 82.5 + -82.5 = 0.0
0.0 + -12x + x2 = 0 + -82.5
-12x + x2 = 0 + -82.5

Combine like terms: 0 + -82.5 = -82.5
-12x + x2 = -82.5

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -82.5 + 36

Reorder the terms:
36 + -12x + x2 = -82.5 + 36

Combine like terms: -82.5 + 36 = -46.5
36 + -12x + x2 = -46.5

Factor a perfect square on the left side:
(x + -6)(x + -6) = -46.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.