$2x^2+3xy+6x=0$
x(2x + 3y + 6) = 0
x = 0
или
2x + 3y + 6 = 0
3y = −2x − 6
$y=-<!--\; -\; -->\frac{2}{3}x-<!--\; -\; -->2$

$x^{2}y+x{y}^2=0$
xy(x + y) = 0
xy = 0
y = 0
или
x = 0
или
x + y = 0
y = −x

$2xy-<!--\; -\; -->3y^2-<!--\; -\; -->6y=0$
y(2x − 3y − 6) = 0
y = 0
или
2x − 3y − 6 = 0
−3y = −2x + 6
3y = 2x − 6
$y=\frac{2}{3}x-<!--\; -\; -->2$

$2x^{2}y-<!--\; -\; -->x{y}^2=0$
xy(2x − y) = 0
xy = 0
y = 0
или
x = 0
или
2x − y = 0
y = 2x