17x^2+1=8x

Solution for 17x^2+1=8x equation:

Simplifying
17x2 + 1 = 8x

Reorder the terms:
1 + 17x2 = 8x

Solving
1 + 17x2 = 8x

Solving for variable 'x'.

Reorder the terms:
1 + -8x + 17x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -8x + 17x2 = 0

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

Divide each side by '17'.
0.05882352941 + -0.4705882353x + x2 = 0

Move the constant term to the right:

Add '-0.05882352941' to each side of the equation.
0.05882352941 + -0.4705882353x + -0.05882352941 + x2 = 0 + -0.05882352941

Reorder the terms:
0.05882352941 + -0.05882352941 + -0.4705882353x + x2 = 0 + -0.05882352941

Combine like terms: 0.05882352941 + -0.05882352941 = 0.00000000000
0.00000000000 + -0.4705882353x + x2 = 0 + -0.05882352941
-0.4705882353x + x2 = 0 + -0.05882352941

Combine like terms: 0 + -0.05882352941 = -0.05882352941
-0.4705882353x + x2 = -0.05882352941

The x term is -0.4705882353x.  Take half its coefficient (-0.2352941177).
Square it (0.05536332182) and add it to both sides.

Add '0.05536332182' to each side of the equation.
-0.4705882353x + 0.05536332182 + x2 = -0.05882352941 + 0.05536332182

Reorder the terms:
0.05536332182 + -0.4705882353x + x2 = -0.05882352941 + 0.05536332182

Combine like terms: -0.05882352941 + 0.05536332182 = -0.00346020759
0.05536332182 + -0.4705882353x + x2 = -0.00346020759

Factor a perfect square on the left side:
(x + -0.2352941177)(x + -0.2352941177) = -0.00346020759

Can't calculate square root of the right side.

The solution to this equation could not be determined.