11b^2+3b=-1

Solution for 11b^2+3b=-1 equation:

Simplifying
11b2 + 3b = -1

Reorder the terms:
3b + 11b2 = -1

Solving
3b + 11b2 = -1

Solving for variable 'b'.

Reorder the terms:
1 + 3b + 11b2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 3b + 11b2 = 0

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

Divide each side by '11'.
0.09090909091 + 0.2727272727b + b2 = 0

Move the constant term to the right:

Add '-0.09090909091' to each side of the equation.
0.09090909091 + 0.2727272727b + -0.09090909091 + b2 = 0 + -0.09090909091

Reorder the terms:
0.09090909091 + -0.09090909091 + 0.2727272727b + b2 = 0 + -0.09090909091

Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000
0.00000000000 + 0.2727272727b + b2 = 0 + -0.09090909091
0.2727272727b + b2 = 0 + -0.09090909091

Combine like terms: 0 + -0.09090909091 = -0.09090909091
0.2727272727b + b2 = -0.09090909091

The b term is 0.2727272727b.  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.
0.2727272727b + 0.01859504133 + b2 = -0.09090909091 + 0.01859504133

Reorder the terms:
0.01859504133 + 0.2727272727b + b2 = -0.09090909091 + 0.01859504133

Combine like terms: -0.09090909091 + 0.01859504133 = -0.07231404958
0.01859504133 + 0.2727272727b + b2 = -0.07231404958

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.