7x^2-16x+88=0

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Solution for 7x^2-16x+88=0 equation: 


Simplifying
7x2 + -16x + 88 = 0

Reorder the terms:
88 + -16x + 7x2 = 0

Solving
88 + -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'.
12.57142857 + -2.285714286x + x2 = 0

Move the constant term to the right:

Add '-12.57142857' to each side of the equation.
12.57142857 + -2.285714286x + -12.57142857 + x2 = 0 + -12.57142857

Reorder the terms:
12.57142857 + -12.57142857 + -2.285714286x + x2 = 0 + -12.57142857

Combine like terms: 12.57142857 + -12.57142857 = 0.00000000
0.00000000 + -2.285714286x + x2 = 0 + -12.57142857
-2.285714286x + x2 = 0 + -12.57142857

Combine like terms: 0 + -12.57142857 = -12.57142857
-2.285714286x + x2 = -12.57142857

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 = -12.57142857 + 1.306122449

Reorder the terms:
1.306122449 + -2.285714286x + x2 = -12.57142857 + 1.306122449

Combine like terms: -12.57142857 + 1.306122449 = -11.265306121
1.306122449 + -2.285714286x + x2 = -11.265306121

Factor a perfect square on the left side:
(x + -1.142857143)(x + -1.142857143) = -11.265306121

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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