v^2+2v+6=0

Solution for v^2+2v+6=0 equation:

Simplifying
v2 + 2v + 6 = 0

Reorder the terms:
6 + 2v + v2 = 0

Solving
6 + 2v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 2v + -6 + v2 = 0 + -6

Reorder the terms:
6 + -6 + 2v + v2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2v + v2 = 0 + -6
2v + v2 = 0 + -6

Combine like terms: 0 + -6 = -6
2v + v2 = -6

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

Add '1' to each side of the equation.
2v + 1 + v2 = -6 + 1

Reorder the terms:
1 + 2v + v2 = -6 + 1

Combine like terms: -6 + 1 = -5
1 + 2v + v2 = -5

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.