11x^2+3x+1=0

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Solution for 11x^2+3x+1=0 equation: 


Simplifying
11x2 + 3x + 1 = 0

Reorder the terms:
1 + 3x + 11x2 = 0

Solving
1 + 3x + 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'.
0.09090909091 + 0.2727272727x + x2 = 0

Move the constant term to the right:

Add '-0.09090909091' to each side of the equation.
0.09090909091 + 0.2727272727x + -0.09090909091 + x2 = 0 + -0.09090909091

Reorder the terms:
0.09090909091 + -0.09090909091 + 0.2727272727x + x2 = 0 + -0.09090909091

Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000
0.00000000000 + 0.2727272727x + x2 = 0 + -0.09090909091
0.2727272727x + x2 = 0 + -0.09090909091

Combine like terms: 0 + -0.09090909091 = -0.09090909091
0.2727272727x + x2 = -0.09090909091

The x term is 0.2727272727x.  Take half its coefficient (0.1363636364).
Square it (0.01859504133) and add it to both sides.

Add '0.01859504133' to each side of the equation.
0.2727272727x + 0.01859504133 + x2 = -0.09090909091 + 0.01859504133

Reorder the terms:
0.01859504133 + 0.2727272727x + x2 = -0.09090909091 + 0.01859504133

Combine like terms: -0.09090909091 + 0.01859504133 = -0.07231404958
0.01859504133 + 0.2727272727x + x2 = -0.07231404958

Factor a perfect square on the left side:
(x + 0.1363636364)(x + 0.1363636364) = -0.07231404958

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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