2x+3ky+6=0

Solution for 2x+3ky+6=0 equation:

Simplifying
2x + 3ky + 6 = 0

Reorder the terms:
6 + 3ky + 2x = 0

Solving
6 + 3ky + 2x = 0

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + 3ky + -6 + 2x = 0 + -6

Reorder the terms:
6 + -6 + 3ky + 2x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3ky + 2x = 0 + -6
3ky + 2x = 0 + -6

Combine like terms: 0 + -6 = -6
3ky + 2x = -6

Add '-2x' to each side of the equation.
3ky + 2x + -2x = -6 + -2x

Combine like terms: 2x + -2x = 0
3ky + 0 = -6 + -2x
3ky = -6 + -2x

Divide each side by '3y'.
k = -2y-1 + -0.6666666667xy-1

Simplifying
k = -2y-1 + -0.6666666667xy-1

Reorder the terms:
k = -0.6666666667xy-1 + -2y-1