17x^2-82x+417=0

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Solution for 17x^2-82x+417=0 equation:


Simplifying
17x2 + -82x + 417 = 0

Reorder the terms:
417 + -82x + 17x2 = 0

Solving
417 + -82x + 17x2 = 0

Solving for variable 'x'.

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

Divide each side by '17'.
24.52941176 + -4.823529412x + x2 = 0

Move the constant term to the right:

Add '-24.52941176' to each side of the equation.
24.52941176 + -4.823529412x + -24.52941176 + x2 = 0 + -24.52941176

Reorder the terms:
24.52941176 + -24.52941176 + -4.823529412x + x2 = 0 + -24.52941176

Combine like terms: 24.52941176 + -24.52941176 = 0.00000000
0.00000000 + -4.823529412x + x2 = 0 + -24.52941176
-4.823529412x + x2 = 0 + -24.52941176

Combine like terms: 0 + -24.52941176 = -24.52941176
-4.823529412x + x2 = -24.52941176

The x term is -4.823529412x.  Take half its coefficient (-2.411764706).
Square it (5.816608997) and add it to both sides.

Add '5.816608997' to each side of the equation.
-4.823529412x + 5.816608997 + x2 = -24.52941176 + 5.816608997

Reorder the terms:
5.816608997 + -4.823529412x + x2 = -24.52941176 + 5.816608997

Combine like terms: -24.52941176 + 5.816608997 = -18.712802763
5.816608997 + -4.823529412x + x2 = -18.712802763

Factor a perfect square on the left side:
(x + -2.411764706)(x + -2.411764706) = -18.712802763

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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