11x^2+12x+61=0

Solution for 11x^2+12x+61=0 equation:

Simplifying
11x2 + 12x + 61 = 0

Reorder the terms:
61 + 12x + 11x2 = 0

Solving
61 + 12x + 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'.
5.545454545 + 1.090909091x + x2 = 0

Move the constant term to the right:

Add '-5.545454545' to each side of the equation.
5.545454545 + 1.090909091x + -5.545454545 + x2 = 0 + -5.545454545

Reorder the terms:
5.545454545 + -5.545454545 + 1.090909091x + x2 = 0 + -5.545454545

Combine like terms: 5.545454545 + -5.545454545 = 0.000000000
0.000000000 + 1.090909091x + x2 = 0 + -5.545454545
1.090909091x + x2 = 0 + -5.545454545

Combine like terms: 0 + -5.545454545 = -5.545454545
1.090909091x + x2 = -5.545454545

The x term is 1.090909091x.  Take half its coefficient (0.5454545455).
Square it (0.2975206612) and add it to both sides.

Add '0.2975206612' to each side of the equation.
1.090909091x + 0.2975206612 + x2 = -5.545454545 + 0.2975206612

Reorder the terms:
0.2975206612 + 1.090909091x + x2 = -5.545454545 + 0.2975206612

Combine like terms: -5.545454545 + 0.2975206612 = -5.2479338838
0.2975206612 + 1.090909091x + x2 = -5.2479338838

Factor a perfect square on the left side:
(x + 0.5454545455)(x + 0.5454545455) = -5.2479338838

Can't calculate square root of the right side.

The solution to this equation could not be determined.