(x^2+2x+6)=0

Solution for (x^2+2x+6)=0 equation:

Simplifying
(x2 + 2x + 6) = 0

Reorder the terms:
(6 + 2x + x2) = 0

Remove parenthesis around (6 + 2x + x2)
6 + 2x + x2 = 0

Solving
6 + 2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 2x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 2x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2x + x2 = 0 + -6
2x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
2x + x2 = -6

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -6 + 1

Reorder the terms:
1 + 2x + x2 = -6 + 1

Combine like terms: -6 + 1 = -5
1 + 2x + x2 = -5

Factor a perfect square on the left side:
(x + 1)(x + 1) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.