11x^2+5x+1=0

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Solution for 11x^2+5x+1=0 equation: 


Simplifying
11x2 + 5x + 1 = 0

Reorder the terms:
1 + 5x + 11x2 = 0

Solving
1 + 5x + 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 + 0.4545454545x + x2 = 0

Move the constant term to the right:

Add '-0.09090909091' to each side of the equation.
0.09090909091 + 0.4545454545x + -0.09090909091 + x2 = 0 + -0.09090909091

Reorder the terms:
0.09090909091 + -0.09090909091 + 0.4545454545x + x2 = 0 + -0.09090909091

Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000
0.00000000000 + 0.4545454545x + x2 = 0 + -0.09090909091
0.4545454545x + x2 = 0 + -0.09090909091

Combine like terms: 0 + -0.09090909091 = -0.09090909091
0.4545454545x + x2 = -0.09090909091

The x term is 0.4545454545x.  Take half its coefficient (0.2272727273).
Square it (0.05165289257) and add it to both sides.

Add '0.05165289257' to each side of the equation.
0.4545454545x + 0.05165289257 + x2 = -0.09090909091 + 0.05165289257

Reorder the terms:
0.05165289257 + 0.4545454545x + x2 = -0.09090909091 + 0.05165289257

Combine like terms: -0.09090909091 + 0.05165289257 = -0.03925619834
0.05165289257 + 0.4545454545x + x2 = -0.03925619834

Factor a perfect square on the left side:
(x + 0.2272727273)(x + 0.2272727273) = -0.03925619834

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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