2n^2+4n+6=-3

Solution for 2n^2+4n+6=-3 equation:

Simplifying
2n2 + 4n + 6 = -3

Reorder the terms:
6 + 4n + 2n2 = -3

Solving
6 + 4n + 2n2 = -3

Solving for variable 'n'.

Reorder the terms:
6 + 3 + 4n + 2n2 = -3 + 3

Combine like terms: 6 + 3 = 9
9 + 4n + 2n2 = -3 + 3

Combine like terms: -3 + 3 = 0
9 + 4n + 2n2 = 0

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

Divide each side by '2'.
4.5 + 2n + n2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + 2n + -4.5 + n2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + 2n + n2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 2n + n2 = 0 + -4.5
2n + n2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
2n + n2 = -4.5

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

Add '1' to each side of the equation.
2n + 1 + n2 = -4.5 + 1

Reorder the terms:
1 + 2n + n2 = -4.5 + 1

Combine like terms: -4.5 + 1 = -3.5
1 + 2n + n2 = -3.5

Factor a perfect square on the left side:
(n + 1)(n + 1) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.