11y^2+9y+10=0

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Solution for 11y^2+9y+10=0 equation:


Simplifying
11y2 + 9y + 10 = 0

Reorder the terms:
10 + 9y + 11y2 = 0

Solving
10 + 9y + 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'.
0.9090909091 + 0.8181818182y + y2 = 0

Move the constant term to the right:

Add '-0.9090909091' to each side of the equation.
0.9090909091 + 0.8181818182y + -0.9090909091 + y2 = 0 + -0.9090909091

Reorder the terms:
0.9090909091 + -0.9090909091 + 0.8181818182y + y2 = 0 + -0.9090909091

Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000
0.0000000000 + 0.8181818182y + y2 = 0 + -0.9090909091
0.8181818182y + y2 = 0 + -0.9090909091

Combine like terms: 0 + -0.9090909091 = -0.9090909091
0.8181818182y + y2 = -0.9090909091

The y term is 0.8181818182y.  Take half its coefficient (0.4090909091).
Square it (0.1673553719) and add it to both sides.

Add '0.1673553719' to each side of the equation.
0.8181818182y + 0.1673553719 + y2 = -0.9090909091 + 0.1673553719

Reorder the terms:
0.1673553719 + 0.8181818182y + y2 = -0.9090909091 + 0.1673553719

Combine like terms: -0.9090909091 + 0.1673553719 = -0.7417355372
0.1673553719 + 0.8181818182y + y2 = -0.7417355372

Factor a perfect square on the left side:
(y + 0.4090909091)(y + 0.4090909091) = -0.7417355372

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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