xlny+2ylnx+6=0

Solution for xlny+2ylnx+6=0 equation:

Simplifying
xlny + 2ylnx + 6 = 0

Reorder the terms:
6 + lnxy + 2lnxy = 0

Combine like terms: lnxy + 2lnxy = 3lnxy
6 + 3lnxy = 0

Solving
6 + 3lnxy = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 3lnxy = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3lnxy = 0 + -6
3lnxy = 0 + -6

Combine like terms: 0 + -6 = -6
3lnxy = -6

Divide each side by '3nxy'.
l = -2n-1x-1y-1

Simplifying
l = -2n-1x-1y-1