3y^2+23y+60=0

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Solution for 3y^2+23y+60=0 equation:


Simplifying
3y2 + 23y + 60 = 0

Reorder the terms:
60 + 23y + 3y2 = 0

Solving
60 + 23y + 3y2 = 0

Solving for variable 'y'.

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

Divide each side by '3'.
20 + 7.666666667y + y2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 7.666666667y + -20 + y2 = 0 + -20

Reorder the terms:
20 + -20 + 7.666666667y + y2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 7.666666667y + y2 = 0 + -20
7.666666667y + y2 = 0 + -20

Combine like terms: 0 + -20 = -20
7.666666667y + y2 = -20

The y term is 7.666666667y.  Take half its coefficient (3.833333334).
Square it (14.69444445) and add it to both sides.

Add '14.69444445' to each side of the equation.
7.666666667y + 14.69444445 + y2 = -20 + 14.69444445

Reorder the terms:
14.69444445 + 7.666666667y + y2 = -20 + 14.69444445

Combine like terms: -20 + 14.69444445 = -5.30555555
14.69444445 + 7.666666667y + y2 = -5.30555555

Factor a perfect square on the left side:
(y + 3.833333334)(y + 3.833333334) = -5.30555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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