3y^2+4y+11=0

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Solution for 3y^2+4y+11=0 equation: 


Simplifying
3y2 + 4y + 11 = 0

Reorder the terms:
11 + 4y + 3y2 = 0

Solving
11 + 4y + 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'.
3.666666667 + 1.333333333y + y2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + 1.333333333y + -3.666666667 + y2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + 1.333333333y + y2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + 1.333333333y + y2 = 0 + -3.666666667
1.333333333y + y2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
1.333333333y + y2 = -3.666666667

The y term is 1.333333333y.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333y + 0.4444444442 + y2 = -3.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333y + y2 = -3.666666667 + 0.4444444442

Combine like terms: -3.666666667 + 0.4444444442 = -3.2222222228
0.4444444442 + 1.333333333y + y2 = -3.2222222228

Factor a perfect square on the left side:
(y + 0.6666666665)(y + 0.6666666665) = -3.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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