6y^2-5y+2=0

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Solution for 6y^2-5y+2=0 equation: 


Simplifying
6y2 + -5y + 2 = 0

Reorder the terms:
2 + -5y + 6y2 = 0

Solving
2 + -5y + 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'.
0.3333333333 + -0.8333333333y + y2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.8333333333y + -0.3333333333 + y2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.8333333333y + y2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.8333333333y + y2 = 0 + -0.3333333333
-0.8333333333y + y2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.8333333333y + y2 = -0.3333333333

The y term is -0.8333333333y.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333y + 0.1736111111 + y2 = -0.3333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333y + y2 = -0.3333333333 + 0.1736111111

Combine like terms: -0.3333333333 + 0.1736111111 = -0.1597222222
0.1736111111 + -0.8333333333y + y2 = -0.1597222222

Factor a perfect square on the left side:
(y + -0.4166666667)(y + -0.4166666667) = -0.1597222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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