11x^2+2x+3=0

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Solution for 11x^2+2x+3=0 equation: 


Simplifying
11x2 + 2x + 3 = 0

Reorder the terms:
3 + 2x + 11x2 = 0

Solving
3 + 2x + 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'.
0.2727272727 + 0.1818181818x + x2 = 0

Move the constant term to the right:

Add '-0.2727272727' to each side of the equation.
0.2727272727 + 0.1818181818x + -0.2727272727 + x2 = 0 + -0.2727272727

Reorder the terms:
0.2727272727 + -0.2727272727 + 0.1818181818x + x2 = 0 + -0.2727272727

Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000
0.0000000000 + 0.1818181818x + x2 = 0 + -0.2727272727
0.1818181818x + x2 = 0 + -0.2727272727

Combine like terms: 0 + -0.2727272727 = -0.2727272727
0.1818181818x + x2 = -0.2727272727

The x term is 0.1818181818x.  Take half its coefficient (0.0909090909).
Square it (0.008264462808) and add it to both sides.

Add '0.008264462808' to each side of the equation.
0.1818181818x + 0.008264462808 + x2 = -0.2727272727 + 0.008264462808

Reorder the terms:
0.008264462808 + 0.1818181818x + x2 = -0.2727272727 + 0.008264462808

Combine like terms: -0.2727272727 + 0.008264462808 = -0.264462809892
0.008264462808 + 0.1818181818x + x2 = -0.264462809892

Factor a perfect square on the left side:
(x + 0.0909090909)(x + 0.0909090909) = -0.264462809892

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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