11x^2+x=-3

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

Simplifying
11x2 + x = -3

Reorder the terms:
x + 11x2 = -3

Solving
x + 11x2 = -3

Solving for variable 'x'.

Reorder the terms:
3 + x + 11x2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + x + 11x2 = 0

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

Divide each side by '11'.
0.2727272727 + 0.09090909091x + x2 = 0

Move the constant term to the right:

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

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

Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000
0.0000000000 + 0.09090909091x + x2 = 0 + -0.2727272727
0.09090909091x + x2 = 0 + -0.2727272727

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

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.09090909091x + 0.25 + x2 = -0.2727272727 + 0.25

Reorder the terms:
0.25 + 0.09090909091x + x2 = -0.2727272727 + 0.25

Combine like terms: -0.2727272727 + 0.25 = -0.0227272727
0.25 + 0.09090909091x + x2 = -0.0227272727

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.0227272727

Can't calculate square root of the right side.

The solution to this equation could not be determined.