9x^2-52x+96=0

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Solution for 9x^2-52x+96=0 equation:


Simplifying
9x2 + -52x + 96 = 0

Reorder the terms:
96 + -52x + 9x2 = 0

Solving
96 + -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'.
10.66666667 + -5.777777778x + x2 = 0

Move the constant term to the right:

Add '-10.66666667' to each side of the equation.
10.66666667 + -5.777777778x + -10.66666667 + x2 = 0 + -10.66666667

Reorder the terms:
10.66666667 + -10.66666667 + -5.777777778x + x2 = 0 + -10.66666667

Combine like terms: 10.66666667 + -10.66666667 = 0.00000000
0.00000000 + -5.777777778x + x2 = 0 + -10.66666667
-5.777777778x + x2 = 0 + -10.66666667

Combine like terms: 0 + -10.66666667 = -10.66666667
-5.777777778x + x2 = -10.66666667

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 = -10.66666667 + 8.345679013

Reorder the terms:
8.345679013 + -5.777777778x + x2 = -10.66666667 + 8.345679013

Combine like terms: -10.66666667 + 8.345679013 = -2.320987657
8.345679013 + -5.777777778x + x2 = -2.320987657

Factor a perfect square on the left side:
(x + -2.888888889)(x + -2.888888889) = -2.320987657

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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