10n^2=-6-n

Solution for 10n^2=-6-n equation:

Simplifying
10n2 = -6 + -1n

Solving
10n2 = -6 + -1n

Solving for variable 'n'.

Reorder the terms:
6 + n + 10n2 = -6 + -1n + 6 + n

Reorder the terms:
6 + n + 10n2 = -6 + 6 + -1n + n

Combine like terms: -6 + 6 = 0
6 + n + 10n2 = 0 + -1n + n
6 + n + 10n2 = -1n + n

Combine like terms: -1n + n = 0
6 + n + 10n2 = 0

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

Divide each side by '10'.
0.6 + 0.1n + n2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.1n + -0.6 + n2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.1n + n2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.1n + n2 = 0 + -0.6
0.1n + n2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
0.1n + n2 = -0.6

The n term is n.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.1n + 0.25 + n2 = -0.6 + 0.25

Reorder the terms:
0.25 + 0.1n + n2 = -0.6 + 0.25

Combine like terms: -0.6 + 0.25 = -0.35
0.25 + 0.1n + n2 = -0.35

Factor a perfect square on the left side:
(n + 0.5)(n + 0.5) = -0.35

Can't calculate square root of the right side.

The solution to this equation could not be determined.