9x^2-103x+328=0

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Solution for 9x^2-103x+328=0 equation:


Simplifying
9x2 + -103x + 328 = 0

Reorder the terms:
328 + -103x + 9x2 = 0

Solving
328 + -103x + 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'.
36.44444444 + -11.44444444x + x2 = 0

Move the constant term to the right:

Add '-36.44444444' to each side of the equation.
36.44444444 + -11.44444444x + -36.44444444 + x2 = 0 + -36.44444444

Reorder the terms:
36.44444444 + -36.44444444 + -11.44444444x + x2 = 0 + -36.44444444

Combine like terms: 36.44444444 + -36.44444444 = 0.00000000
0.00000000 + -11.44444444x + x2 = 0 + -36.44444444
-11.44444444x + x2 = 0 + -36.44444444

Combine like terms: 0 + -36.44444444 = -36.44444444
-11.44444444x + x2 = -36.44444444

The x term is -11.44444444x.  Take half its coefficient (-5.72222222).
Square it (32.74382714) and add it to both sides.

Add '32.74382714' to each side of the equation.
-11.44444444x + 32.74382714 + x2 = -36.44444444 + 32.74382714

Reorder the terms:
32.74382714 + -11.44444444x + x2 = -36.44444444 + 32.74382714

Combine like terms: -36.44444444 + 32.74382714 = -3.7006173
32.74382714 + -11.44444444x + x2 = -3.7006173

Factor a perfect square on the left side:
(x + -5.72222222)(x + -5.72222222) = -3.7006173

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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