3x^2-50x+683=0

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Solution for 3x^2-50x+683=0 equation:


Simplifying
3x2 + -50x + 683 = 0

Reorder the terms:
683 + -50x + 3x2 = 0

Solving
683 + -50x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
227.6666667 + -16.66666667x + x2 = 0

Move the constant term to the right:

Add '-227.6666667' to each side of the equation.
227.6666667 + -16.66666667x + -227.6666667 + x2 = 0 + -227.6666667

Reorder the terms:
227.6666667 + -227.6666667 + -16.66666667x + x2 = 0 + -227.6666667

Combine like terms: 227.6666667 + -227.6666667 = 0.0000000
0.0000000 + -16.66666667x + x2 = 0 + -227.6666667
-16.66666667x + x2 = 0 + -227.6666667

Combine like terms: 0 + -227.6666667 = -227.6666667
-16.66666667x + x2 = -227.6666667

The x term is -16.66666667x.  Take half its coefficient (-8.333333335).
Square it (69.44444447) and add it to both sides.

Add '69.44444447' to each side of the equation.
-16.66666667x + 69.44444447 + x2 = -227.6666667 + 69.44444447

Reorder the terms:
69.44444447 + -16.66666667x + x2 = -227.6666667 + 69.44444447

Combine like terms: -227.6666667 + 69.44444447 = -158.22222223
69.44444447 + -16.66666667x + x2 = -158.22222223

Factor a perfect square on the left side:
(x + -8.333333335)(x + -8.333333335) = -158.22222223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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