11x^2+9x+2=0

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Solution for 11x^2+9x+2=0 equation:


Simplifying
11x2 + 9x + 2 = 0

Reorder the terms:
2 + 9x + 11x2 = 0

Solving
2 + 9x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
0.1818181818 + 0.8181818182x + x2 = 0

Move the constant term to the right:

Add '-0.1818181818' to each side of the equation.
0.1818181818 + 0.8181818182x + -0.1818181818 + x2 = 0 + -0.1818181818

Reorder the terms:
0.1818181818 + -0.1818181818 + 0.8181818182x + x2 = 0 + -0.1818181818

Combine like terms: 0.1818181818 + -0.1818181818 = 0.0000000000
0.0000000000 + 0.8181818182x + x2 = 0 + -0.1818181818
0.8181818182x + x2 = 0 + -0.1818181818

Combine like terms: 0 + -0.1818181818 = -0.1818181818
0.8181818182x + x2 = -0.1818181818

The x term is 0.8181818182x.  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.
0.8181818182x + 0.1673553719 + x2 = -0.1818181818 + 0.1673553719

Reorder the terms:
0.1673553719 + 0.8181818182x + x2 = -0.1818181818 + 0.1673553719

Combine like terms: -0.1818181818 + 0.1673553719 = -0.0144628099
0.1673553719 + 0.8181818182x + x2 = -0.0144628099

Factor a perfect square on the left side:
(x + 0.4090909091)(x + 0.4090909091) = -0.0144628099

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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