9x^2-28x+23=0

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Solution for 9x^2-28x+23=0 equation:


Simplifying
9x2 + -28x + 23 = 0

Reorder the terms:
23 + -28x + 9x2 = 0

Solving
23 + -28x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
2.555555556 + -3.111111111x + x2 = 0

Move the constant term to the right:

Add '-2.555555556' to each side of the equation.
2.555555556 + -3.111111111x + -2.555555556 + x2 = 0 + -2.555555556

Reorder the terms:
2.555555556 + -2.555555556 + -3.111111111x + x2 = 0 + -2.555555556

Combine like terms: 2.555555556 + -2.555555556 = 0.000000000
0.000000000 + -3.111111111x + x2 = 0 + -2.555555556
-3.111111111x + x2 = 0 + -2.555555556

Combine like terms: 0 + -2.555555556 = -2.555555556
-3.111111111x + x2 = -2.555555556

The x term is -3.111111111x.  Take half its coefficient (-1.555555556).
Square it (2.419753088) and add it to both sides.

Add '2.419753088' to each side of the equation.
-3.111111111x + 2.419753088 + x2 = -2.555555556 + 2.419753088

Reorder the terms:
2.419753088 + -3.111111111x + x2 = -2.555555556 + 2.419753088

Combine like terms: -2.555555556 + 2.419753088 = -0.135802468
2.419753088 + -3.111111111x + x2 = -0.135802468

Factor a perfect square on the left side:
(x + -1.555555556)(x + -1.555555556) = -0.135802468

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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