123*x^2-23*x+28=0

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Solution for 123*x^2-23*x+28=0 equation:


Simplifying
123x2 + -23x + 28 = 0

Reorder the terms:
28 + -23x + 123x2 = 0

Solving
28 + -23x + 123x2 = 0

Solving for variable 'x'.

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

Divide each side by '123'.
0.2276422764 + -0.1869918699x + x2 = 0

Move the constant term to the right:

Add '-0.2276422764' to each side of the equation.
0.2276422764 + -0.1869918699x + -0.2276422764 + x2 = 0 + -0.2276422764

Reorder the terms:
0.2276422764 + -0.2276422764 + -0.1869918699x + x2 = 0 + -0.2276422764

Combine like terms: 0.2276422764 + -0.2276422764 = 0.0000000000
0.0000000000 + -0.1869918699x + x2 = 0 + -0.2276422764
-0.1869918699x + x2 = 0 + -0.2276422764

Combine like terms: 0 + -0.2276422764 = -0.2276422764
-0.1869918699x + x2 = -0.2276422764

The x term is -0.1869918699x.  Take half its coefficient (-0.09349593495).
Square it (0.008741489852) and add it to both sides.

Add '0.008741489852' to each side of the equation.
-0.1869918699x + 0.008741489852 + x2 = -0.2276422764 + 0.008741489852

Reorder the terms:
0.008741489852 + -0.1869918699x + x2 = -0.2276422764 + 0.008741489852

Combine like terms: -0.2276422764 + 0.008741489852 = -0.218900786548
0.008741489852 + -0.1869918699x + x2 = -0.218900786548

Factor a perfect square on the left side:
(x + -0.09349593495)(x + -0.09349593495) = -0.218900786548

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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