9x^2-79x+182=0

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Solution for 9x^2-79x+182=0 equation:


Simplifying
9x2 + -79x + 182 = 0

Reorder the terms:
182 + -79x + 9x2 = 0

Solving
182 + -79x + 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'.
20.22222222 + -8.777777778x + x2 = 0

Move the constant term to the right:

Add '-20.22222222' to each side of the equation.
20.22222222 + -8.777777778x + -20.22222222 + x2 = 0 + -20.22222222

Reorder the terms:
20.22222222 + -20.22222222 + -8.777777778x + x2 = 0 + -20.22222222

Combine like terms: 20.22222222 + -20.22222222 = 0.00000000
0.00000000 + -8.777777778x + x2 = 0 + -20.22222222
-8.777777778x + x2 = 0 + -20.22222222

Combine like terms: 0 + -20.22222222 = -20.22222222
-8.777777778x + x2 = -20.22222222

The x term is -8.777777778x.  Take half its coefficient (-4.388888889).
Square it (19.26234568) and add it to both sides.

Add '19.26234568' to each side of the equation.
-8.777777778x + 19.26234568 + x2 = -20.22222222 + 19.26234568

Reorder the terms:
19.26234568 + -8.777777778x + x2 = -20.22222222 + 19.26234568

Combine like terms: -20.22222222 + 19.26234568 = -0.95987654
19.26234568 + -8.777777778x + x2 = -0.95987654

Factor a perfect square on the left side:
(x + -4.388888889)(x + -4.388888889) = -0.95987654

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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