-6x^2+11x-14=0

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Solution for -6x^2+11x-14=0 equation: 


Simplifying
-6x2 + 11x + -14 = 0

Reorder the terms:
-14 + 11x + -6x2 = 0

Solving
-14 + 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'.
2.333333333 + -1.833333333x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -1.833333333x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -1.833333333x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -1.833333333x + x2 = 0 + -2.333333333
-1.833333333x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-1.833333333x + x2 = -2.333333333

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 = -2.333333333 + 0.8402777775

Reorder the terms:
0.8402777775 + -1.833333333x + x2 = -2.333333333 + 0.8402777775

Combine like terms: -2.333333333 + 0.8402777775 = -1.4930555555
0.8402777775 + -1.833333333x + x2 = -1.4930555555

Factor a perfect square on the left side:
(x + -0.9166666665)(x + -0.9166666665) = -1.4930555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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