x^2+11=-6x

Solution for x^2+11=-6x equation:

Simplifying
x2 + 11 = -6x

Reorder the terms:
11 + x2 = -6x

Solving
11 + x2 = -6x

Solving for variable 'x'.

Reorder the terms:
11 + 6x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
11 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 6x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 6x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 6x + x2 = 0 + -11
6x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
6x + x2 = -11

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -11 + 9

Reorder the terms:
9 + 6x + x2 = -11 + 9

Combine like terms: -11 + 9 = -2
9 + 6x + x2 = -2

Factor a perfect square on the left side:
(x + 3)(x + 3) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.