11x^2=x-3

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

Simplifying
11x2 = x + -3

Reorder the terms:
11x2 = -3 + x

Solving
11x2 = -3 + x

Solving for variable 'x'.

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

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

Combine like terms: -3 + 3 = 0
3 + -1x + 11x2 = 0 + x + -1x
3 + -1x + 11x2 = x + -1x

Combine like terms: x + -1x = 0
3 + -1x + 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 -0.09090909091x.  Take half its coefficient (-0.04545454546).
Square it (0.002066115703) and add it to both sides.

Add '0.002066115703' to each side of the equation.
-0.09090909091x + 0.002066115703 + x2 = -0.2727272727 + 0.002066115703

Reorder the terms:
0.002066115703 + -0.09090909091x + x2 = -0.2727272727 + 0.002066115703

Combine like terms: -0.2727272727 + 0.002066115703 = -0.270661156997
0.002066115703 + -0.09090909091x + x2 = -0.270661156997

Factor a perfect square on the left side:
(x + -0.04545454546)(x + -0.04545454546) = -0.270661156997

Can't calculate square root of the right side.

The solution to this equation could not be determined.