6y^2+19y+20=0

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Solution for 6y^2+19y+20=0 equation: 


Simplifying
6y2 + 19y + 20 = 0

Reorder the terms:
20 + 19y + 6y2 = 0

Solving
20 + 19y + 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'.
3.333333333 + 3.166666667y + y2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 3.166666667y + -3.333333333 + y2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 3.166666667y + y2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 3.166666667y + y2 = 0 + -3.333333333
3.166666667y + y2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
3.166666667y + y2 = -3.333333333

The y term is 3.166666667y.  Take half its coefficient (1.583333334).
Square it (2.506944447) and add it to both sides.

Add '2.506944447' to each side of the equation.
3.166666667y + 2.506944447 + y2 = -3.333333333 + 2.506944447

Reorder the terms:
2.506944447 + 3.166666667y + y2 = -3.333333333 + 2.506944447

Combine like terms: -3.333333333 + 2.506944447 = -0.826388886
2.506944447 + 3.166666667y + y2 = -0.826388886

Factor a perfect square on the left side:
(y + 1.583333334)(y + 1.583333334) = -0.826388886

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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