2n^2+6n=-5

Solution for 2n^2+6n=-5 equation:

Simplifying
2n2 + 6n = -5

Reorder the terms:
6n + 2n2 = -5

Solving
6n + 2n2 = -5

Solving for variable 'n'.

Reorder the terms:
5 + 6n + 2n2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 6n + 2n2 = 0

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

Divide each side by '2'.
2.5 + 3n + n2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 3n + -2.5 + n2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 3n + n2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 3n + n2 = 0 + -2.5
3n + n2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
3n + n2 = -2.5

The n term is 3n.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3n + 2.25 + n2 = -2.5 + 2.25

Reorder the terms:
2.25 + 3n + n2 = -2.5 + 2.25

Combine like terms: -2.5 + 2.25 = -0.25
2.25 + 3n + n2 = -0.25

Factor a perfect square on the left side:
(n + 1.5)(n + 1.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.