7x^2-16x-8+56=0

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Solution for 7x^2-16x-8+56=0 equation: 


Simplifying
7x2 + -16x + -8 + 56 = 0

Reorder the terms:
-8 + 56 + -16x + 7x2 = 0

Combine like terms: -8 + 56 = 48
48 + -16x + 7x2 = 0

Solving
48 + -16x + 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'.
6.857142857 + -2.285714286x + x2 = 0

Move the constant term to the right:

Add '-6.857142857' to each side of the equation.
6.857142857 + -2.285714286x + -6.857142857 + x2 = 0 + -6.857142857

Reorder the terms:
6.857142857 + -6.857142857 + -2.285714286x + x2 = 0 + -6.857142857

Combine like terms: 6.857142857 + -6.857142857 = 0.000000000
0.000000000 + -2.285714286x + x2 = 0 + -6.857142857
-2.285714286x + x2 = 0 + -6.857142857

Combine like terms: 0 + -6.857142857 = -6.857142857
-2.285714286x + x2 = -6.857142857

The x term is -2.285714286x.  Take half its coefficient (-1.142857143).
Square it (1.306122449) and add it to both sides.

Add '1.306122449' to each side of the equation.
-2.285714286x + 1.306122449 + x2 = -6.857142857 + 1.306122449

Reorder the terms:
1.306122449 + -2.285714286x + x2 = -6.857142857 + 1.306122449

Combine like terms: -6.857142857 + 1.306122449 = -5.551020408
1.306122449 + -2.285714286x + x2 = -5.551020408

Factor a perfect square on the left side:
(x + -1.142857143)(x + -1.142857143) = -5.551020408

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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