6y^2-7y+6=0

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Solution for 6y^2-7y+6=0 equation:


Simplifying
6y2 + -7y + 6 = 0

Reorder the terms:
6 + -7y + 6y2 = 0

Solving
6 + -7y + 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 + -1.166666667y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.166666667y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -1.166666667y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.166666667y + y2 = 0 + -1
-1.166666667y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.166666667y + y2 = -1

The y term is -1.166666667y.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667y + 0.3402777780 + y2 = -1 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667y + y2 = -1 + 0.3402777780

Combine like terms: -1 + 0.3402777780 = -0.659722222
0.3402777780 + -1.166666667y + y2 = -0.659722222

Factor a perfect square on the left side:
(y + -0.5833333335)(y + -0.5833333335) = -0.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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