Réitigh 6x^2y+4xy=2x^2y(3x+2)

$$6 x ^ { 2 } y + 4 x y = 2 x ^ { 2 } y ( 3 x + 2 )$$

Réitigh do y. (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=-\frac{2}{3}\text{ or }x=1\text{ or }x=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Úsáid an t-airí dáileach chun 2x^{2}y a mhéadú faoi 3x+2.

$$6x^{2}y+4xy=6x^{3}y+4x^{2}y$$

Bain 6x^{3}y ón dá thaobh.

$$6x^{2}y+4xy-6x^{3}y=4x^{2}y$$

Bain 4x^{2}y ón dá thaobh.

$$6x^{2}y+4xy-6x^{3}y-4x^{2}y=0$$

Comhcheangail 6x^{2}y agus -4x^{2}y chun 2x^{2}y a fháil.

$$2x^{2}y+4xy-6x^{3}y=0$$

Comhcheangail na téarmaí ar fad ina bhfuil y.

$$\left(2x^{2}+4x-6x^{3}\right)y=0$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(4x+2x^{2}-6x^{3}\right)y=0$$

Roinn 0 faoi 2x^{2}+4x-6x^{3}.

$$y=0$$

Réitigh do y.

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=-\frac{2}{3}\text{ or }x=1\text{ or }x=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Úsáid an t-airí dáileach chun 2x^{2}y a mhéadú faoi 3x+2.

$$6x^{2}y+4xy=6x^{3}y+4x^{2}y$$

Bain 6x^{3}y ón dá thaobh.

$$6x^{2}y+4xy-6x^{3}y=4x^{2}y$$

Bain 4x^{2}y ón dá thaobh.

$$6x^{2}y+4xy-6x^{3}y-4x^{2}y=0$$

Comhcheangail 6x^{2}y agus -4x^{2}y chun 2x^{2}y a fháil.

$$2x^{2}y+4xy-6x^{3}y=0$$

Comhcheangail na téarmaí ar fad ina bhfuil y.

$$\left(2x^{2}+4x-6x^{3}\right)y=0$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(4x+2x^{2}-6x^{3}\right)y=0$$

Roinn 0 faoi 2x^{2}+4x-6x^{3}.

$$y=0$$

Réitigh do x. (complex solution)

$$\left\{\begin{matrix}\\x=1\text{; }x=0\text{; }x=-\frac{2}{3}\approx -0.666666667\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Réitigh do x.

$$\left\{\begin{matrix}\\x=1\text{; }x=0\text{; }x=-\frac{2}{3}\approx -0.666666667\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$