Whakaoti i te 980=x+0.4x(+0.4x0*4)

$$980 = x+0.4x(+0.4x0 \cdot 4)$$

Whakaoti mō x

$$x=\frac{980}{\frac{16x_{0}}{25}+1}$$

$$x_{0}\neq -\frac{25}{16}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 0.4 ki te 0.4, ka 0.16.

$$980=x+0.16xx_{0}\times 4$$

Whakareatia te 0.16 ki te 4, ka 0.64.

$$980=x+0.64xx_{0}$$

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

$$x+0.64xx_{0}=980$$

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

$$\left(1+0.64x_{0}\right)x=980$$

He hanga arowhānui tō te whārite.

$$\left(\frac{16x_{0}}{25}+1\right)x=980$$

Whakawehea ngā taha e rua ki te 1+0.64x_{0}.

$$\frac{\left(\frac{16x_{0}}{25}+1\right)x}{\frac{16x_{0}}{25}+1}=\frac{980}{\frac{16x_{0}}{25}+1}$$

Mā te whakawehe ki te 1+0.64x_{0} ka wetekia te whakareanga ki te 1+0.64x_{0}.

$$x=\frac{980}{\frac{16x_{0}}{25}+1}$$

Whakaoti mō x_0

$$x_{0}=-1.5625+\frac{6125}{4x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 0.4 ki te 0.4, ka 0.16.

$$980=x+0.16xx_{0}\times 4$$

Whakareatia te 0.16 ki te 4, ka 0.64.

$$980=x+0.64xx_{0}$$

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

$$x+0.64xx_{0}=980$$

Tangohia te x mai i ngā taha e rua.

$$0.64xx_{0}=980-x$$

He hanga arowhānui tō te whārite.

$$\frac{16x}{25}x_{0}=980-x$$

Whakawehea ngā taha e rua ki te 0.64x.

$$\frac{25\times \frac{16x}{25}x_{0}}{16x}=\frac{25\left(980-x\right)}{16x}$$

Mā te whakawehe ki te 0.64x ka wetekia te whakareanga ki te 0.64x.

$$x_{0}=\frac{25\left(980-x\right)}{16x}$$

Whakawehe 980-x ki te 0.64x.

$$x_{0}=-1.5625+\frac{6125}{4x}$$