3y^2-2y+9=0

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Solution for 3y^2-2y+9=0 equation:


Simplifying
3y2 + -2y + 9 = 0

Reorder the terms:
9 + -2y + 3y2 = 0

Solving
9 + -2y + 3y2 = 0

Solving for variable 'y'.

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

Divide each side by '3'.
3 + -0.6666666667y + y2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.6666666667y + -3 + y2 = 0 + -3

Reorder the terms:
3 + -3 + -0.6666666667y + y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.6666666667y + y2 = 0 + -3
-0.6666666667y + y2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.6666666667y + y2 = -3

The y term is -0.6666666667y.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667y + 0.1111111112 + y2 = -3 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667y + y2 = -3 + 0.1111111112

Combine like terms: -3 + 0.1111111112 = -2.8888888888
0.1111111112 + -0.6666666667y + y2 = -2.8888888888

Factor a perfect square on the left side:
(y + -0.3333333334)(y + -0.3333333334) = -2.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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