65x^2-14x+1=0

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Solution for 65x^2-14x+1=0 equation:


Simplifying
65x2 + -14x + 1 = 0

Reorder the terms:
1 + -14x + 65x2 = 0

Solving
1 + -14x + 65x2 = 0

Solving for variable 'x'.

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

Divide each side by '65'.
0.01538461538 + -0.2153846154x + x2 = 0

Move the constant term to the right:

Add '-0.01538461538' to each side of the equation.
0.01538461538 + -0.2153846154x + -0.01538461538 + x2 = 0 + -0.01538461538

Reorder the terms:
0.01538461538 + -0.01538461538 + -0.2153846154x + x2 = 0 + -0.01538461538

Combine like terms: 0.01538461538 + -0.01538461538 = 0.00000000000
0.00000000000 + -0.2153846154x + x2 = 0 + -0.01538461538
-0.2153846154x + x2 = 0 + -0.01538461538

Combine like terms: 0 + -0.01538461538 = -0.01538461538
-0.2153846154x + x2 = -0.01538461538

The x term is -0.2153846154x.  Take half its coefficient (-0.1076923077).
Square it (0.01159763314) and add it to both sides.

Add '0.01159763314' to each side of the equation.
-0.2153846154x + 0.01159763314 + x2 = -0.01538461538 + 0.01159763314

Reorder the terms:
0.01159763314 + -0.2153846154x + x2 = -0.01538461538 + 0.01159763314

Combine like terms: -0.01538461538 + 0.01159763314 = -0.00378698224
0.01159763314 + -0.2153846154x + x2 = -0.00378698224

Factor a perfect square on the left side:
(x + -0.1076923077)(x + -0.1076923077) = -0.00378698224

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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