28x^2-x+16=0

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Solution for 28x^2-x+16=0 equation:


Simplifying
28x2 + -1x + 16 = 0

Reorder the terms:
16 + -1x + 28x2 = 0

Solving
16 + -1x + 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'.
0.5714285714 + -0.03571428571x + x2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + -0.03571428571x + -0.5714285714 + x2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + -0.03571428571x + x2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + -0.03571428571x + x2 = 0 + -0.5714285714
-0.03571428571x + x2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
-0.03571428571x + x2 = -0.5714285714

The x term is -0.03571428571x.  Take half its coefficient (-0.01785714286).
Square it (0.0003188775511) and add it to both sides.

Add '0.0003188775511' to each side of the equation.
-0.03571428571x + 0.0003188775511 + x2 = -0.5714285714 + 0.0003188775511

Reorder the terms:
0.0003188775511 + -0.03571428571x + x2 = -0.5714285714 + 0.0003188775511

Combine like terms: -0.5714285714 + 0.0003188775511 = -0.5711096938489
0.0003188775511 + -0.03571428571x + x2 = -0.5711096938489

Factor a perfect square on the left side:
(x + -0.01785714286)(x + -0.01785714286) = -0.5711096938489

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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