2n^2+n=-11-4n

Solution for 2n^2+n=-11-4n equation:

Simplifying
2n2 + n = -11 + -4n

Reorder the terms:
n + 2n2 = -11 + -4n

Solving
n + 2n2 = -11 + -4n

Solving for variable 'n'.

Reorder the terms:
11 + n + 4n + 2n2 = -11 + -4n + 11 + 4n

Combine like terms: n + 4n = 5n
11 + 5n + 2n2 = -11 + -4n + 11 + 4n

Reorder the terms:
11 + 5n + 2n2 = -11 + 11 + -4n + 4n

Combine like terms: -11 + 11 = 0
11 + 5n + 2n2 = 0 + -4n + 4n
11 + 5n + 2n2 = -4n + 4n

Combine like terms: -4n + 4n = 0
11 + 5n + 2n2 = 0

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

Divide each side by '2'.
5.5 + 2.5n + n2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + 2.5n + -5.5 + n2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + 2.5n + n2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 2.5n + n2 = 0 + -5.5
2.5n + n2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
2.5n + n2 = -5.5

The n term is 2.5n.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5n + 1.5625 + n2 = -5.5 + 1.5625

Reorder the terms:
1.5625 + 2.5n + n2 = -5.5 + 1.5625

Combine like terms: -5.5 + 1.5625 = -3.9375
1.5625 + 2.5n + n2 = -3.9375

Factor a perfect square on the left side:
(n + 1.25)(n + 1.25) = -3.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.