3y^2-y+10=0

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Solution for 3y^2-y+10=0 equation: 


Simplifying
3y2 + -1y + 10 = 0

Reorder the terms:
10 + -1y + 3y2 = 0

Solving
10 + -1y + 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'.
3.333333333 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -0.3333333333y + -3.333333333 + y2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -0.3333333333y + y2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -0.3333333333y + y2 = 0 + -3.333333333
-0.3333333333y + y2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-0.3333333333y + y2 = -3.333333333

The y term is -0.3333333333y.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333y + 0.02777777779 + y2 = -3.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333y + y2 = -3.333333333 + 0.02777777779

Combine like terms: -3.333333333 + 0.02777777779 = -3.30555555521
0.02777777779 + -0.3333333333y + y2 = -3.30555555521

Factor a perfect square on the left side:
(y + -0.1666666667)(y + -0.1666666667) = -3.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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