15y^2-5y+2=0

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Solution for 15y^2-5y+2=0 equation: 


Simplifying
15y2 + -5y + 2 = 0

Reorder the terms:
2 + -5y + 15y2 = 0

Solving
2 + -5y + 15y2 = 0

Solving for variable 'y'.

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

Divide each side by '15'.
0.1333333333 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-0.1333333333' to each side of the equation.
0.1333333333 + -0.3333333333y + -0.1333333333 + y2 = 0 + -0.1333333333

Reorder the terms:
0.1333333333 + -0.1333333333 + -0.3333333333y + y2 = 0 + -0.1333333333

Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000
0.0000000000 + -0.3333333333y + y2 = 0 + -0.1333333333
-0.3333333333y + y2 = 0 + -0.1333333333

Combine like terms: 0 + -0.1333333333 = -0.1333333333
-0.3333333333y + y2 = -0.1333333333

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 = -0.1333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333y + y2 = -0.1333333333 + 0.02777777779

Combine like terms: -0.1333333333 + 0.02777777779 = -0.10555555551
0.02777777779 + -0.3333333333y + y2 = -0.10555555551

Factor a perfect square on the left side:
(y + -0.1666666667)(y + -0.1666666667) = -0.10555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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