0=2x^2-16x+41

Solution for 0=2x^2-16x+41 equation:

Simplifying
0 = 2x2 + -16x + 41

Reorder the terms:
0 = 41 + -16x + 2x2

Solving
0 = 41 + -16x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -41 = -41
-41 + 16x + -2x2 = 41 + -16x + 2x2 + -41 + 16x + -2x2

Reorder the terms:
-41 + 16x + -2x2 = 41 + -41 + -16x + 16x + 2x2 + -2x2

Combine like terms: 41 + -41 = 0
-41 + 16x + -2x2 = 0 + -16x + 16x + 2x2 + -2x2
-41 + 16x + -2x2 = -16x + 16x + 2x2 + -2x2

Combine like terms: -16x + 16x = 0
-41 + 16x + -2x2 = 0 + 2x2 + -2x2
-41 + 16x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-41 + 16x + -2x2 = 0

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

Divide each side by '-2'.
20.5 + -8x + x2 = 0

Move the constant term to the right:

Add '-20.5' to each side of the equation.
20.5 + -8x + -20.5 + x2 = 0 + -20.5

Reorder the terms:
20.5 + -20.5 + -8x + x2 = 0 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + -8x + x2 = 0 + -20.5
-8x + x2 = 0 + -20.5

Combine like terms: 0 + -20.5 = -20.5
-8x + x2 = -20.5

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -20.5 + 16

Reorder the terms:
16 + -8x + x2 = -20.5 + 16

Combine like terms: -20.5 + 16 = -4.5
16 + -8x + x2 = -4.5

Factor a perfect square on the left side:
(x + -4)(x + -4) = -4.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.