5n^2+16n+18=0

Solution for 5n^2+16n+18=0 equation:

Simplifying
5n2 + 16n + 18 = 0

Reorder the terms:
18 + 16n + 5n2 = 0

Solving
18 + 16n + 5n2 = 0

Solving for variable 'n'.

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

Divide each side by '5'.
3.6 + 3.2n + n2 = 0

Move the constant term to the right:

Add '-3.6' to each side of the equation.
3.6 + 3.2n + -3.6 + n2 = 0 + -3.6

Reorder the terms:
3.6 + -3.6 + 3.2n + n2 = 0 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 3.2n + n2 = 0 + -3.6
3.2n + n2 = 0 + -3.6

Combine like terms: 0 + -3.6 = -3.6
3.2n + n2 = -3.6

The n term is 3.2n.  Take half its coefficient (1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
3.2n + 2.56 + n2 = -3.6 + 2.56

Reorder the terms:
2.56 + 3.2n + n2 = -3.6 + 2.56

Combine like terms: -3.6 + 2.56 = -1.04
2.56 + 3.2n + n2 = -1.04

Factor a perfect square on the left side:
(n + 1.6)(n + 1.6) = -1.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.