Whakaoti i te 3x3x=3x

$$3x3x=3x$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&x_{3}=1\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore te 3 ki ngā taha e rua.

$$x_{3}x=x$$

Tangohia te x mai i ngā taha e rua.

$$x_{3}x-x=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(x_{3}-1\right)x=0$$

Whakawehe 0 ki te -1+x_{3}.

$$x=0$$

Whakaoti mō x_3 (complex solution)

$$\left\{\begin{matrix}\\x_{3}=1\text{, }&\text{unconditionally}\\x_{3}\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore te 3 ki ngā taha e rua.

$$x_{3}x=x$$

He hanga arowhānui tō te whārite.

$$xx_{3}=x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xx_{3}}{x}=\frac{x}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

$$x_{3}=\frac{x}{x}$$

Whakawehe x ki te x.

$$x_{3}=1$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&x_{3}=1\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore te 3 ki ngā taha e rua.

$$x_{3}x=x$$

Tangohia te x mai i ngā taha e rua.

$$x_{3}x-x=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(x_{3}-1\right)x=0$$

Whakawehe 0 ki te -1+x_{3}.

$$x=0$$

Whakaoti mō x_3

$$\left\{\begin{matrix}\\x_{3}=1\text{, }&\text{unconditionally}\\x_{3}\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore te 3 ki ngā taha e rua.

$$x_{3}x=x$$

He hanga arowhānui tō te whārite.

$$xx_{3}=x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xx_{3}}{x}=\frac{x}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

$$x_{3}=\frac{x}{x}$$

Whakawehe x ki te x.

$$x_{3}=1$$