6x^2-11x+35=0

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Solution for 6x^2-11x+35=0 equation:


Simplifying
6x2 + -11x + 35 = 0

Reorder the terms:
35 + -11x + 6x2 = 0

Solving
35 + -11x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
5.833333333 + -1.833333333x + x2 = 0

Move the constant term to the right:

Add '-5.833333333' to each side of the equation.
5.833333333 + -1.833333333x + -5.833333333 + x2 = 0 + -5.833333333

Reorder the terms:
5.833333333 + -5.833333333 + -1.833333333x + x2 = 0 + -5.833333333

Combine like terms: 5.833333333 + -5.833333333 = 0.000000000
0.000000000 + -1.833333333x + x2 = 0 + -5.833333333
-1.833333333x + x2 = 0 + -5.833333333

Combine like terms: 0 + -5.833333333 = -5.833333333
-1.833333333x + x2 = -5.833333333

The x term is -1.833333333x.  Take half its coefficient (-0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
-1.833333333x + 0.8402777775 + x2 = -5.833333333 + 0.8402777775

Reorder the terms:
0.8402777775 + -1.833333333x + x2 = -5.833333333 + 0.8402777775

Combine like terms: -5.833333333 + 0.8402777775 = -4.9930555555
0.8402777775 + -1.833333333x + x2 = -4.9930555555

Factor a perfect square on the left side:
(x + -0.9166666665)(x + -0.9166666665) = -4.9930555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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