53x^2-14x+1=0

Solution for 53x^2-14x+1=0 equation:

Simplifying
53x2 + -14x + 1 = 0

Reorder the terms:
1 + -14x + 53x2 = 0

Solving
1 + -14x + 53x2 = 0

Solving for variable 'x'.

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

Divide each side by '53'.
0.01886792453 + -0.2641509434x + x2 = 0

Move the constant term to the right:

Add '-0.01886792453' to each side of the equation.
0.01886792453 + -0.2641509434x + -0.01886792453 + x2 = 0 + -0.01886792453

Reorder the terms:
0.01886792453 + -0.01886792453 + -0.2641509434x + x2 = 0 + -0.01886792453

Combine like terms: 0.01886792453 + -0.01886792453 = 0.00000000000
0.00000000000 + -0.2641509434x + x2 = 0 + -0.01886792453
-0.2641509434x + x2 = 0 + -0.01886792453

Combine like terms: 0 + -0.01886792453 = -0.01886792453
-0.2641509434x + x2 = -0.01886792453

The x term is -0.2641509434x.  Take half its coefficient (-0.1320754717).
Square it (0.01744393022) and add it to both sides.

Add '0.01744393022' to each side of the equation.
-0.2641509434x + 0.01744393022 + x2 = -0.01886792453 + 0.01744393022

Reorder the terms:
0.01744393022 + -0.2641509434x + x2 = -0.01886792453 + 0.01744393022

Combine like terms: -0.01886792453 + 0.01744393022 = -0.00142399431
0.01744393022 + -0.2641509434x + x2 = -0.00142399431

Factor a perfect square on the left side:
(x + -0.1320754717)(x + -0.1320754717) = -0.00142399431

Can't calculate square root of the right side.

The solution to this equation could not be determined.