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 = 3
3 + 4n + 2n2 = 3 + -3

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

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

Divide each side by '2'.
1.5 + 2n + n2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 2n + -1.5 + n2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 2n + n2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2n + n2 = 0 + -1.5
2n + n2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
2n + n2 = -1.5

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 = -1.5 + 1

Reorder the terms:
1 + 2n + n2 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + 2n + n2 = -0.5

Factor a perfect square on the left side:
(n + 1)(n + 1) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.