n(n+2)=-192

Solution for n(n+2)=-192 equation:

Simplifying
n(n + 2) = -192

Reorder the terms:
n(2 + n) = -192
(2 * n + n * n) = -192
(2n + n2) = -192

Solving
2n + n2 = -192

Solving for variable 'n'.

Reorder the terms:
192 + 2n + n2 = -192 + 192

Combine like terms: -192 + 192 = 0
192 + 2n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-192' to each side of the equation.
192 + 2n + -192 + n2 = 0 + -192

Reorder the terms:
192 + -192 + 2n + n2 = 0 + -192

Combine like terms: 192 + -192 = 0
0 + 2n + n2 = 0 + -192
2n + n2 = 0 + -192

Combine like terms: 0 + -192 = -192
2n + n2 = -192

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 = -192 + 1

Reorder the terms:
1 + 2n + n2 = -192 + 1

Combine like terms: -192 + 1 = -191
1 + 2n + n2 = -191

Factor a perfect square on the left side:
(n + 1)(n + 1) = -191

Can't calculate square root of the right side.

The solution to this equation could not be determined.