6y^2-20y+28=0

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Solution for 6y^2-20y+28=0 equation: 


Simplifying
6y2 + -20y + 28 = 0

Reorder the terms:
28 + -20y + 6y2 = 0

Solving
28 + -20y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -10y + 3y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(14 + -10y + 3y2)' equal to zero and attempt to solve:

Simplifying
14 + -10y + 3y2 = 0

Solving
14 + -10y + 3y2 = 0

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

Divide each side by '3'.
4.666666667 + -3.333333333y + y2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -3.333333333y + -4.666666667 + y2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -3.333333333y + y2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -3.333333333y + y2 = 0 + -4.666666667
-3.333333333y + y2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-3.333333333y + y2 = -4.666666667

The y term is -3.333333333y.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333y + 2.777777779 + y2 = -4.666666667 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333y + y2 = -4.666666667 + 2.777777779

Combine like terms: -4.666666667 + 2.777777779 = -1.888888888
2.777777779 + -3.333333333y + y2 = -1.888888888

Factor a perfect square on the left side:
(y + -1.666666667)(y + -1.666666667) = -1.888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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