7x^2-8x+9=0

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Solution for 7x^2-8x+9=0 equation:


Simplifying
7x2 + -8x + 9 = 0

Reorder the terms:
9 + -8x + 7x2 = 0

Solving
9 + -8x + 7x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
7 the coefficient of the squared term: 

Divide each side by '7'.
1.285714286 + -1.142857143x + x2 = 0

Move the constant term to the right:

Add '-1.285714286' to each side of the equation.
1.285714286 + -1.142857143x + -1.285714286 + x2 = 0 + -1.285714286

Reorder the terms:
1.285714286 + -1.285714286 + -1.142857143x + x2 = 0 + -1.285714286

Combine like terms: 1.285714286 + -1.285714286 = 0.000000000
0.000000000 + -1.142857143x + x2 = 0 + -1.285714286
-1.142857143x + x2 = 0 + -1.285714286

Combine like terms: 0 + -1.285714286 = -1.285714286
-1.142857143x + x2 = -1.285714286

The x term is -1.142857143x.  Take half its coefficient (-0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
-1.142857143x + 0.3265306123 + x2 = -1.285714286 + 0.3265306123

Reorder the terms:
0.3265306123 + -1.142857143x + x2 = -1.285714286 + 0.3265306123

Combine like terms: -1.285714286 + 0.3265306123 = -0.9591836737
0.3265306123 + -1.142857143x + x2 = -0.9591836737

Factor a perfect square on the left side:
(x + -0.5714285715)(x + -0.5714285715) = -0.9591836737

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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