3y^2+6y+5=0

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Solution for 3y^2+6y+5=0 equation:


Simplifying
3y2 + 6y + 5 = 0

Reorder the terms:
5 + 6y + 3y2 = 0

Solving
5 + 6y + 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'.
1.666666667 + 2y + y2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 2y + -1.666666667 + y2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 2y + y2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 2y + y2 = 0 + -1.666666667
2y + y2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
2y + y2 = -1.666666667

The y term is 2y.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2y + 1 + y2 = -1.666666667 + 1

Reorder the terms:
1 + 2y + y2 = -1.666666667 + 1

Combine like terms: -1.666666667 + 1 = -0.666666667
1 + 2y + y2 = -0.666666667

Factor a perfect square on the left side:
(y + 1)(y + 1) = -0.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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