10x^2-x+28=0

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Solution for 10x^2-x+28=0 equation:


Simplifying
10x2 + -1x + 28 = 0

Reorder the terms:
28 + -1x + 10x2 = 0

Solving
28 + -1x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
2.8 + -0.1x + x2 = 0

Move the constant term to the right:

Add '-2.8' to each side of the equation.
2.8 + -0.1x + -2.8 + x2 = 0 + -2.8

Reorder the terms:
2.8 + -2.8 + -0.1x + x2 = 0 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -0.1x + x2 = 0 + -2.8
-0.1x + x2 = 0 + -2.8

Combine like terms: 0 + -2.8 = -2.8
-0.1x + x2 = -2.8

The x term is -0.1x.  Take half its coefficient (-0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
-0.1x + 0.0025 + x2 = -2.8 + 0.0025

Reorder the terms:
0.0025 + -0.1x + x2 = -2.8 + 0.0025

Combine like terms: -2.8 + 0.0025 = -2.7975
0.0025 + -0.1x + x2 = -2.7975

Factor a perfect square on the left side:
(x + -0.05)(x + -0.05) = -2.7975

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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