x(y+2)+3(y+2)=0

Solution for x(y+2)+3(y+2)=0 equation:

Simplifying
x(y + 2) + 3(y + 2) = 0

Reorder the terms:
x(2 + y) + 3(y + 2) = 0
(2 * x + y * x) + 3(y + 2) = 0
(2x + xy) + 3(y + 2) = 0

Reorder the terms:
2x + xy + 3(2 + y) = 0
2x + xy + (2 * 3 + y * 3) = 0
2x + xy + (6 + 3y) = 0

Reorder the terms:
6 + 2x + xy + 3y = 0

Solving
6 + 2x + xy + 3y = 0

Solving for variable 'x'.

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

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

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

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

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

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

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

Reorder the terms:
6 + 2x + xy + 3y = -6 + -3y + 6 + 3y

Reorder the terms:
6 + 2x + xy + 3y = -6 + 6 + -3y + 3y

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

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

The solution to this equation could not be determined.