9x^2-52x+164=0

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Solution for 9x^2-52x+164=0 equation:


Simplifying
9x2 + -52x + 164 = 0

Reorder the terms:
164 + -52x + 9x2 = 0

Solving
164 + -52x + 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'.
18.22222222 + -5.777777778x + x2 = 0

Move the constant term to the right:

Add '-18.22222222' to each side of the equation.
18.22222222 + -5.777777778x + -18.22222222 + x2 = 0 + -18.22222222

Reorder the terms:
18.22222222 + -18.22222222 + -5.777777778x + x2 = 0 + -18.22222222

Combine like terms: 18.22222222 + -18.22222222 = 0.00000000
0.00000000 + -5.777777778x + x2 = 0 + -18.22222222
-5.777777778x + x2 = 0 + -18.22222222

Combine like terms: 0 + -18.22222222 = -18.22222222
-5.777777778x + x2 = -18.22222222

The x term is -5.777777778x.  Take half its coefficient (-2.888888889).
Square it (8.345679013) and add it to both sides.

Add '8.345679013' to each side of the equation.
-5.777777778x + 8.345679013 + x2 = -18.22222222 + 8.345679013

Reorder the terms:
8.345679013 + -5.777777778x + x2 = -18.22222222 + 8.345679013

Combine like terms: -18.22222222 + 8.345679013 = -9.876543207
8.345679013 + -5.777777778x + x2 = -9.876543207

Factor a perfect square on the left side:
(x + -2.888888889)(x + -2.888888889) = -9.876543207

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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