5n^2+2n+2=-4n

Solution for 5n^2+2n+2=-4n equation:

Simplifying
5n2 + 2n + 2 = -4n

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

Solving
2 + 2n + 5n2 = -4n

Solving for variable 'n'.

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

Combine like terms: 2n + 4n = 6n
2 + 6n + 5n2 = -4n + 4n

Combine like terms: -4n + 4n = 0
2 + 6n + 5n2 = 0

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

Divide each side by '5'.
0.4 + 1.2n + n2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 1.2n + -0.4 + n2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 1.2n + n2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 1.2n + n2 = 0 + -0.4
1.2n + n2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
1.2n + n2 = -0.4

The n term is 1.2n.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2n + 0.36 + n2 = -0.4 + 0.36

Reorder the terms:
0.36 + 1.2n + n2 = -0.4 + 0.36

Combine like terms: -0.4 + 0.36 = -0.04
0.36 + 1.2n + n2 = -0.04

Factor a perfect square on the left side:
(n + 0.6)(n + 0.6) = -0.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.