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

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

Simplifying
y(x + y) + 2(x + 3) = 0
(x * y + y * y) + 2(x + 3) = 0
(xy + y2) + 2(x + 3) = 0

Reorder the terms:
xy + y2 + 2(3 + x) = 0
xy + y2 + (3 * 2 + x * 2) = 0
xy + y2 + (6 + 2x) = 0

Reorder the terms:
6 + 2x + xy + y2 = 0

Solving
6 + 2x + xy + y2 = 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 + y2 = 0 + -6

Reorder the terms:
6 + -6 + 2x + xy + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2x + xy + y2 = 0 + -6
2x + xy + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
2x + xy + y2 = -6

Add '-1y2' to each side of the equation.
2x + xy + y2 + -1y2 = -6 + -1y2

Combine like terms: y2 + -1y2 = 0
2x + xy + 0 = -6 + -1y2
2x + xy = -6 + -1y2

Reorder the terms:
6 + 2x + xy + y2 = -6 + -1y2 + 6 + y2

Reorder the terms:
6 + 2x + xy + y2 = -6 + 6 + -1y2 + y2

Combine like terms: -6 + 6 = 0
6 + 2x + xy + y2 = 0 + -1y2 + y2
6 + 2x + xy + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
6 + 2x + xy + y2 = 0

The solution to this equation could not be determined.