28x^2-9x+1=0

Solution for 28x^2-9x+1=0 equation:

Simplifying
28x2 + -9x + 1 = 0

Reorder the terms:
1 + -9x + 28x2 = 0

Solving
1 + -9x + 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 + -0.3214285714x + x2 = 0

Move the constant term to the right:

Add '-0.03571428571' to each side of the equation.
0.03571428571 + -0.3214285714x + -0.03571428571 + x2 = 0 + -0.03571428571

Reorder the terms:
0.03571428571 + -0.03571428571 + -0.3214285714x + x2 = 0 + -0.03571428571

Combine like terms: 0.03571428571 + -0.03571428571 = 0.00000000000
0.00000000000 + -0.3214285714x + x2 = 0 + -0.03571428571
-0.3214285714x + x2 = 0 + -0.03571428571

Combine like terms: 0 + -0.03571428571 = -0.03571428571
-0.3214285714x + x2 = -0.03571428571

The x term is -0.3214285714x.  Take half its coefficient (-0.1607142857).
Square it (0.02582908163) and add it to both sides.

Add '0.02582908163' to each side of the equation.
-0.3214285714x + 0.02582908163 + x2 = -0.03571428571 + 0.02582908163

Reorder the terms:
0.02582908163 + -0.3214285714x + x2 = -0.03571428571 + 0.02582908163

Combine like terms: -0.03571428571 + 0.02582908163 = -0.00988520408
0.02582908163 + -0.3214285714x + x2 = -0.00988520408

Factor a perfect square on the left side:
(x + -0.1607142857)(x + -0.1607142857) = -0.00988520408

Can't calculate square root of the right side.

The solution to this equation could not be determined.