13x^2-2x+2=0

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Solution for 13x^2-2x+2=0 equation:


Simplifying
13x2 + -2x + 2 = 0

Reorder the terms:
2 + -2x + 13x2 = 0

Solving
2 + -2x + 13x2 = 0

Solving for variable 'x'.

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

Divide each side by '13'.
0.1538461538 + -0.1538461538x + x2 = 0

Move the constant term to the right:

Add '-0.1538461538' to each side of the equation.
0.1538461538 + -0.1538461538x + -0.1538461538 + x2 = 0 + -0.1538461538

Reorder the terms:
0.1538461538 + -0.1538461538 + -0.1538461538x + x2 = 0 + -0.1538461538

Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000
0.0000000000 + -0.1538461538x + x2 = 0 + -0.1538461538
-0.1538461538x + x2 = 0 + -0.1538461538

Combine like terms: 0 + -0.1538461538 = -0.1538461538
-0.1538461538x + x2 = -0.1538461538

The x term is -0.1538461538x.  Take half its coefficient (-0.0769230769).
Square it (0.005917159760) and add it to both sides.

Add '0.005917159760' to each side of the equation.
-0.1538461538x + 0.005917159760 + x2 = -0.1538461538 + 0.005917159760

Reorder the terms:
0.005917159760 + -0.1538461538x + x2 = -0.1538461538 + 0.005917159760

Combine like terms: -0.1538461538 + 0.005917159760 = -0.14792899404
0.005917159760 + -0.1538461538x + x2 = -0.14792899404

Factor a perfect square on the left side:
(x + -0.0769230769)(x + -0.0769230769) = -0.14792899404

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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