n^2+9n+108=0

Solution for n^2+9n+108=0 equation:

Simplifying
n2 + 9n + 108 = 0

Reorder the terms:
108 + 9n + n2 = 0

Solving
108 + 9n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-108' to each side of the equation.
108 + 9n + -108 + n2 = 0 + -108

Reorder the terms:
108 + -108 + 9n + n2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + 9n + n2 = 0 + -108
9n + n2 = 0 + -108

Combine like terms: 0 + -108 = -108
9n + n2 = -108

The n term is 9n.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9n + 20.25 + n2 = -108 + 20.25

Reorder the terms:
20.25 + 9n + n2 = -108 + 20.25

Combine like terms: -108 + 20.25 = -87.75
20.25 + 9n + n2 = -87.75

Factor a perfect square on the left side:
(n + 4.5)(n + 4.5) = -87.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.