9x^2-97x+280=0

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Solution for 9x^2-97x+280=0 equation:


Simplifying
9x2 + -97x + 280 = 0

Reorder the terms:
280 + -97x + 9x2 = 0

Solving
280 + -97x + 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'.
31.11111111 + -10.77777778x + x2 = 0

Move the constant term to the right:

Add '-31.11111111' to each side of the equation.
31.11111111 + -10.77777778x + -31.11111111 + x2 = 0 + -31.11111111

Reorder the terms:
31.11111111 + -31.11111111 + -10.77777778x + x2 = 0 + -31.11111111

Combine like terms: 31.11111111 + -31.11111111 = 0.00000000
0.00000000 + -10.77777778x + x2 = 0 + -31.11111111
-10.77777778x + x2 = 0 + -31.11111111

Combine like terms: 0 + -31.11111111 = -31.11111111
-10.77777778x + x2 = -31.11111111

The x term is -10.77777778x.  Take half its coefficient (-5.38888889).
Square it (29.04012347) and add it to both sides.

Add '29.04012347' to each side of the equation.
-10.77777778x + 29.04012347 + x2 = -31.11111111 + 29.04012347

Reorder the terms:
29.04012347 + -10.77777778x + x2 = -31.11111111 + 29.04012347

Combine like terms: -31.11111111 + 29.04012347 = -2.07098764
29.04012347 + -10.77777778x + x2 = -2.07098764

Factor a perfect square on the left side:
(x + -5.38888889)(x + -5.38888889) = -2.07098764

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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