11y^2+4y+2=0

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


Simplifying
11y2 + 4y + 2 = 0

Reorder the terms:
2 + 4y + 11y2 = 0

Solving
2 + 4y + 11y2 = 0

Solving for variable 'y'.

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

Divide each side by '11'.
0.1818181818 + 0.3636363636y + y2 = 0

Move the constant term to the right:

Add '-0.1818181818' to each side of the equation.
0.1818181818 + 0.3636363636y + -0.1818181818 + y2 = 0 + -0.1818181818

Reorder the terms:
0.1818181818 + -0.1818181818 + 0.3636363636y + y2 = 0 + -0.1818181818

Combine like terms: 0.1818181818 + -0.1818181818 = 0.0000000000
0.0000000000 + 0.3636363636y + y2 = 0 + -0.1818181818
0.3636363636y + y2 = 0 + -0.1818181818

Combine like terms: 0 + -0.1818181818 = -0.1818181818
0.3636363636y + y2 = -0.1818181818

The y term is 0.3636363636y.  Take half its coefficient (0.1818181818).
Square it (0.03305785123) and add it to both sides.

Add '0.03305785123' to each side of the equation.
0.3636363636y + 0.03305785123 + y2 = -0.1818181818 + 0.03305785123

Reorder the terms:
0.03305785123 + 0.3636363636y + y2 = -0.1818181818 + 0.03305785123

Combine like terms: -0.1818181818 + 0.03305785123 = -0.14876033057
0.03305785123 + 0.3636363636y + y2 = -0.14876033057

Factor a perfect square on the left side:
(y + 0.1818181818)(y + 0.1818181818) = -0.14876033057

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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