6y^2-11y+8=0

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Solution for 6y^2-11y+8=0 equation:


Simplifying
6y2 + -11y + 8 = 0

Reorder the terms:
8 + -11y + 6y2 = 0

Solving
8 + -11y + 6y2 = 0

Solving for variable 'y'.

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

Divide each side by '6'.
1.333333333 + -1.833333333y + y2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.833333333y + -1.333333333 + y2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.833333333y + y2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.833333333y + y2 = 0 + -1.333333333
-1.833333333y + y2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.833333333y + y2 = -1.333333333

The y term is -1.833333333y.  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.
-1.833333333y + 0.8402777775 + y2 = -1.333333333 + 0.8402777775

Reorder the terms:
0.8402777775 + -1.833333333y + y2 = -1.333333333 + 0.8402777775

Combine like terms: -1.333333333 + 0.8402777775 = -0.4930555555
0.8402777775 + -1.833333333y + y2 = -0.4930555555

Factor a perfect square on the left side:
(y + -0.9166666665)(y + -0.9166666665) = -0.4930555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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