9x^2-61x+198=0

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Solution for 9x^2-61x+198=0 equation:


Simplifying
9x2 + -61x + 198 = 0

Reorder the terms:
198 + -61x + 9x2 = 0

Solving
198 + -61x + 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'.
22 + -6.777777778x + x2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -6.777777778x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + -6.777777778x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -6.777777778x + x2 = 0 + -22
-6.777777778x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
-6.777777778x + x2 = -22

The x term is -6.777777778x.  Take half its coefficient (-3.388888889).
Square it (11.48456790) and add it to both sides.

Add '11.48456790' to each side of the equation.
-6.777777778x + 11.48456790 + x2 = -22 + 11.48456790

Reorder the terms:
11.48456790 + -6.777777778x + x2 = -22 + 11.48456790

Combine like terms: -22 + 11.48456790 = -10.5154321
11.48456790 + -6.777777778x + x2 = -10.5154321

Factor a perfect square on the left side:
(x + -3.388888889)(x + -3.388888889) = -10.5154321

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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