7x^2-17x+16=0

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Solution for 7x^2-17x+16=0 equation:


Simplifying
7x2 + -17x + 16 = 0

Reorder the terms:
16 + -17x + 7x2 = 0

Solving
16 + -17x + 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'.
2.285714286 + -2.428571429x + x2 = 0

Move the constant term to the right:

Add '-2.285714286' to each side of the equation.
2.285714286 + -2.428571429x + -2.285714286 + x2 = 0 + -2.285714286

Reorder the terms:
2.285714286 + -2.285714286 + -2.428571429x + x2 = 0 + -2.285714286

Combine like terms: 2.285714286 + -2.285714286 = 0.000000000
0.000000000 + -2.428571429x + x2 = 0 + -2.285714286
-2.428571429x + x2 = 0 + -2.285714286

Combine like terms: 0 + -2.285714286 = -2.285714286
-2.428571429x + x2 = -2.285714286

The x term is -2.428571429x.  Take half its coefficient (-1.214285715).
Square it (1.474489798) and add it to both sides.

Add '1.474489798' to each side of the equation.
-2.428571429x + 1.474489798 + x2 = -2.285714286 + 1.474489798

Reorder the terms:
1.474489798 + -2.428571429x + x2 = -2.285714286 + 1.474489798

Combine like terms: -2.285714286 + 1.474489798 = -0.811224488
1.474489798 + -2.428571429x + x2 = -0.811224488

Factor a perfect square on the left side:
(x + -1.214285715)(x + -1.214285715) = -0.811224488

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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