9x^2-7x+78=0

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Solution for 9x^2-7x+78=0 equation: 


Simplifying
9x2 + -7x + 78 = 0

Reorder the terms:
78 + -7x + 9x2 = 0

Solving
78 + -7x + 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'.
8.666666667 + -0.7777777778x + x2 = 0

Move the constant term to the right:

Add '-8.666666667' to each side of the equation.
8.666666667 + -0.7777777778x + -8.666666667 + x2 = 0 + -8.666666667

Reorder the terms:
8.666666667 + -8.666666667 + -0.7777777778x + x2 = 0 + -8.666666667

Combine like terms: 8.666666667 + -8.666666667 = 0.000000000
0.000000000 + -0.7777777778x + x2 = 0 + -8.666666667
-0.7777777778x + x2 = 0 + -8.666666667

Combine like terms: 0 + -8.666666667 = -8.666666667
-0.7777777778x + x2 = -8.666666667

The x term is -0.7777777778x.  Take half its coefficient (-0.3888888889).
Square it (0.1512345679) and add it to both sides.

Add '0.1512345679' to each side of the equation.
-0.7777777778x + 0.1512345679 + x2 = -8.666666667 + 0.1512345679

Reorder the terms:
0.1512345679 + -0.7777777778x + x2 = -8.666666667 + 0.1512345679

Combine like terms: -8.666666667 + 0.1512345679 = -8.5154320991
0.1512345679 + -0.7777777778x + x2 = -8.5154320991

Factor a perfect square on the left side:
(x + -0.3888888889)(x + -0.3888888889) = -8.5154320991

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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