Whakaoti i te Ax=xf-x

$$A x = x f - x$$

Whakaoti mō A (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$xA=fx-x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xA}{x}=\frac{x\left(f-1\right)}{x}$$

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

$$A=\frac{x\left(f-1\right)}{x}$$

Whakawehe x\left(-1+f\right) ki te x.

$$A=f-1$$

Whakaoti mō f (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$xf-x=Ax$$

Me tāpiri te x ki ngā taha e rua.

$$xf=Ax+x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xf}{x}=\frac{Ax+x}{x}$$

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

$$f=\frac{Ax+x}{x}$$

Whakawehe xA+x ki te x.

$$f=A+1$$

Whakaoti mō A

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

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$xA=fx-x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xA}{x}=\frac{x\left(f-1\right)}{x}$$

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

$$A=\frac{x\left(f-1\right)}{x}$$

Whakawehe x\left(-1+f\right) ki te x.

$$A=f-1$$

Whakaoti mō f

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$xf-x=Ax$$

Me tāpiri te x ki ngā taha e rua.

$$xf=Ax+x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xf}{x}=\frac{Ax+x}{x}$$

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

$$f=\frac{Ax+x}{x}$$

Whakawehe xA+x ki te x.

$$f=A+1$$