6y^2-y+3=0

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Solution for 6y^2-y+3=0 equation:


Simplifying
6y2 + -1y + 3 = 0

Reorder the terms:
3 + -1y + 6y2 = 0

Solving
3 + -1y + 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'.
0.5 + -0.1666666667y + y2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.1666666667y + -0.5 + y2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.1666666667y + y2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.1666666667y + y2 = 0 + -0.5
-0.1666666667y + y2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.1666666667y + y2 = -0.5

The y term is -0.1666666667y.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667y + 0.006944444447 + y2 = -0.5 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667y + y2 = -0.5 + 0.006944444447

Combine like terms: -0.5 + 0.006944444447 = -0.493055555553
0.006944444447 + -0.1666666667y + y2 = -0.493055555553

Factor a perfect square on the left side:
(y + -0.08333333335)(y + -0.08333333335) = -0.493055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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