12y^2-5y+2=0

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Solution for 12y^2-5y+2=0 equation: 


Simplifying
12y2 + -5y + 2 = 0

Reorder the terms:
2 + -5y + 12y2 = 0

Solving
2 + -5y + 12y2 = 0

Solving for variable 'y'.

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

Divide each side by '12'.
0.1666666667 + -0.4166666667y + y2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.4166666667y + -0.1666666667 + y2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.4166666667y + y2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.4166666667y + y2 = 0 + -0.1666666667
-0.4166666667y + y2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.4166666667y + y2 = -0.1666666667

The y term is -0.4166666667y.  Take half its coefficient (-0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
-0.4166666667y + 0.04340277781 + y2 = -0.1666666667 + 0.04340277781

Reorder the terms:
0.04340277781 + -0.4166666667y + y2 = -0.1666666667 + 0.04340277781

Combine like terms: -0.1666666667 + 0.04340277781 = -0.12326388889
0.04340277781 + -0.4166666667y + y2 = -0.12326388889

Factor a perfect square on the left side:
(y + -0.2083333334)(y + -0.2083333334) = -0.12326388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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