2n+80=-n^2

Solution for 2n+80=-n^2 equation:

Simplifying
2n + 80 = -1n2

Reorder the terms:
80 + 2n = -1n2

Solving
80 + 2n = -1n2

Solving for variable 'n'.

Combine like terms: -1n2 + n2 = 0
80 + 2n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-80' to each side of the equation.
80 + 2n + -80 + n2 = 0 + -80

Reorder the terms:
80 + -80 + 2n + n2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + 2n + n2 = 0 + -80
2n + n2 = 0 + -80

Combine like terms: 0 + -80 = -80
2n + n2 = -80

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 = -80 + 1

Reorder the terms:
1 + 2n + n2 = -80 + 1

Combine like terms: -80 + 1 = -79
1 + 2n + n2 = -79

Factor a perfect square on the left side:
(n + 1)(n + 1) = -79

Can't calculate square root of the right side.

The solution to this equation could not be determined.