Whakaoti i te fx=x/5

$$fx= \frac{ x }{ 5 }$$

Whakaoti mō f (complex solution)

$$\left\{\begin{matrix}\\f=\frac{1}{5}=0.2\text{, }&\text{unconditionally}\\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 5.

$$5fx=x$$

He hanga arowhānui tō te whārite.

$$5xf=x$$

Whakawehea ngā taha e rua ki te 5x.

$$\frac{5xf}{5x}=\frac{x}{5x}$$

Mā te whakawehe ki te 5x ka wetekia te whakareanga ki te 5x.

$$f=\frac{x}{5x}$$

Whakawehe x ki te 5x.

$$f=\frac{1}{5}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&f=\frac{1}{5}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 5.

$$5fx=x$$

Tangohia te x mai i ngā taha e rua.

$$5fx-x=0$$

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

$$\left(5f-1\right)x=0$$

Whakawehe 0 ki te -1+5f.

$$x=0$$

Whakaoti mō f

$$\left\{\begin{matrix}\\f=\frac{1}{5}=0.2\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 5.

$$5fx=x$$

He hanga arowhānui tō te whārite.

$$5xf=x$$

Whakawehea ngā taha e rua ki te 5x.

$$\frac{5xf}{5x}=\frac{x}{5x}$$

Mā te whakawehe ki te 5x ka wetekia te whakareanga ki te 5x.

$$f=\frac{x}{5x}$$

Whakawehe x ki te 5x.

$$f=\frac{1}{5}$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&f=\frac{1}{5}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 5.

$$5fx=x$$

Tangohia te x mai i ngā taha e rua.

$$5fx-x=0$$

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

$$\left(5f-1\right)x=0$$

Whakawehe 0 ki te -1+5f.

$$x=0$$