28x^2-5x+1=0

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Solution for 28x^2-5x+1=0 equation:


Simplifying
28x2 + -5x + 1 = 0

Reorder the terms:
1 + -5x + 28x2 = 0

Solving
1 + -5x + 28x2 = 0

Solving for variable 'x'.

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

Divide each side by '28'.
0.03571428571 + -0.1785714286x + x2 = 0

Move the constant term to the right:

Add '-0.03571428571' to each side of the equation.
0.03571428571 + -0.1785714286x + -0.03571428571 + x2 = 0 + -0.03571428571

Reorder the terms:
0.03571428571 + -0.03571428571 + -0.1785714286x + x2 = 0 + -0.03571428571

Combine like terms: 0.03571428571 + -0.03571428571 = 0.00000000000
0.00000000000 + -0.1785714286x + x2 = 0 + -0.03571428571
-0.1785714286x + x2 = 0 + -0.03571428571

Combine like terms: 0 + -0.03571428571 = -0.03571428571
-0.1785714286x + x2 = -0.03571428571

The x term is -0.1785714286x.  Take half its coefficient (-0.0892857143).
Square it (0.007971938778) and add it to both sides.

Add '0.007971938778' to each side of the equation.
-0.1785714286x + 0.007971938778 + x2 = -0.03571428571 + 0.007971938778

Reorder the terms:
0.007971938778 + -0.1785714286x + x2 = -0.03571428571 + 0.007971938778

Combine like terms: -0.03571428571 + 0.007971938778 = -0.027742346932
0.007971938778 + -0.1785714286x + x2 = -0.027742346932

Factor a perfect square on the left side:
(x + -0.0892857143)(x + -0.0892857143) = -0.027742346932

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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