17x^2+1=2x

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


Simplifying
17x2 + 1 = 2x

Reorder the terms:
1 + 17x2 = 2x

Solving
1 + 17x2 = 2x

Solving for variable 'x'.

Reorder the terms:
1 + -2x + 17x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -2x + 17x2 = 0

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

Divide each side by '17'.
0.05882352941 + -0.1176470588x + x2 = 0

Move the constant term to the right:

Add '-0.05882352941' to each side of the equation.
0.05882352941 + -0.1176470588x + -0.05882352941 + x2 = 0 + -0.05882352941

Reorder the terms:
0.05882352941 + -0.05882352941 + -0.1176470588x + x2 = 0 + -0.05882352941

Combine like terms: 0.05882352941 + -0.05882352941 = 0.00000000000
0.00000000000 + -0.1176470588x + x2 = 0 + -0.05882352941
-0.1176470588x + x2 = 0 + -0.05882352941

Combine like terms: 0 + -0.05882352941 = -0.05882352941
-0.1176470588x + x2 = -0.05882352941

The x term is -0.1176470588x.  Take half its coefficient (-0.0588235294).
Square it (0.003460207611) and add it to both sides.

Add '0.003460207611' to each side of the equation.
-0.1176470588x + 0.003460207611 + x2 = -0.05882352941 + 0.003460207611

Reorder the terms:
0.003460207611 + -0.1176470588x + x2 = -0.05882352941 + 0.003460207611

Combine like terms: -0.05882352941 + 0.003460207611 = -0.055363321799
0.003460207611 + -0.1176470588x + x2 = -0.055363321799

Factor a perfect square on the left side:
(x + -0.0588235294)(x + -0.0588235294) = -0.055363321799

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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