0=2x^2-20x+57

Solution for 0=2x^2-20x+57 equation:

Simplifying
0 = 2x2 + -20x + 57

Reorder the terms:
0 = 57 + -20x + 2x2

Solving
0 = 57 + -20x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -57 = -57
-57 + 20x + -2x2 = 57 + -20x + 2x2 + -57 + 20x + -2x2

Reorder the terms:
-57 + 20x + -2x2 = 57 + -57 + -20x + 20x + 2x2 + -2x2

Combine like terms: 57 + -57 = 0
-57 + 20x + -2x2 = 0 + -20x + 20x + 2x2 + -2x2
-57 + 20x + -2x2 = -20x + 20x + 2x2 + -2x2

Combine like terms: -20x + 20x = 0
-57 + 20x + -2x2 = 0 + 2x2 + -2x2
-57 + 20x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-57 + 20x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
28.5 + -10x + x2 = 0

Move the constant term to the right:

Add '-28.5' to each side of the equation.
28.5 + -10x + -28.5 + x2 = 0 + -28.5

Reorder the terms:
28.5 + -28.5 + -10x + x2 = 0 + -28.5

Combine like terms: 28.5 + -28.5 = 0.0
0.0 + -10x + x2 = 0 + -28.5
-10x + x2 = 0 + -28.5

Combine like terms: 0 + -28.5 = -28.5
-10x + x2 = -28.5

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -28.5 + 25

Reorder the terms:
25 + -10x + x2 = -28.5 + 25

Combine like terms: -28.5 + 25 = -3.5
25 + -10x + x2 = -3.5

Factor a perfect square on the left side:
(x + -5)(x + -5) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.