Datrys 6x^2y+4xy=2x^2y(3x+2)

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

Datrys ar gyfer y (complex solution)

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

Camau ar gyfer Datrys Hafaliad Llinol

Defnyddio’r briodwedd ddosbarthu i luosi 2x^{2}y â 3x+2.

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

Tynnu 6x^{3}y o'r ddwy ochr.

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

Tynnu 4x^{2}y o'r ddwy ochr.

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

Cyfuno 6x^{2}y a -4x^{2}y i gael 2x^{2}y.

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

Cyfuno pob term sy'n cynnwys y.

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

Mae'r hafaliad yn y ffurf safonol.

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

Rhannwch 0 â 2x^{2}+4x-6x^{3}.

$$y=0$$

Datrys ar gyfer y

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

Camau ar gyfer Datrys Hafaliad Llinol

Defnyddio’r briodwedd ddosbarthu i luosi 2x^{2}y â 3x+2.

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

Tynnu 6x^{3}y o'r ddwy ochr.

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

Tynnu 4x^{2}y o'r ddwy ochr.

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

Cyfuno 6x^{2}y a -4x^{2}y i gael 2x^{2}y.

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

Cyfuno pob term sy'n cynnwys y.

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

Mae'r hafaliad yn y ffurf safonol.

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

Rhannwch 0 â 2x^{2}+4x-6x^{3}.

$$y=0$$

Datrys ar gyfer x (complex solution)

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

Datrys ar gyfer x

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