Whakaoti i te 270pi=15/2(2(2pix)+(14)(1))

$$270 \pi = \frac{ 15 }{ 2 } (2(2 \pi x)+(14)(1))$$

Whakaoti mō x

$$x=-\frac{7}{2\pi }+9\approx 7.885915398$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 2 ki te 2, ka 4. Whakareatia te 14 ki te 1, ka 14.

$$270\pi =\frac{15}{2}\left(4\pi x+14\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{15}{2} ki te 4\pi x+14.

$$270\pi =\frac{15}{2}\times 4\pi x+\frac{15}{2}\times 14$$

Tuhia te \frac{15}{2}\times 4 hei hautanga kotahi.

$$270\pi =\frac{15\times 4}{2}\pi x+\frac{15}{2}\times 14$$

Whakareatia te 15 ki te 4, ka 60.

$$270\pi =\frac{60}{2}\pi x+\frac{15}{2}\times 14$$

Whakawehea te 60 ki te 2, kia riro ko 30.

$$270\pi =30\pi x+\frac{15}{2}\times 14$$

Tuhia te \frac{15}{2}\times 14 hei hautanga kotahi.

$$270\pi =30\pi x+\frac{15\times 14}{2}$$

Whakareatia te 15 ki te 14, ka 210.

$$270\pi =30\pi x+\frac{210}{2}$$

Whakawehea te 210 ki te 2, kia riro ko 105.

$$270\pi =30\pi x+105$$

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

$$30\pi x+105=270\pi$$

Tangohia te 105 mai i ngā taha e rua.

$$30\pi x=270\pi -105$$

Whakawehea ngā taha e rua ki te 30\pi .

$$\frac{30\pi x}{30\pi }=\frac{270\pi -105}{30\pi }$$

Mā te whakawehe ki te 30\pi ka wetekia te whakareanga ki te 30\pi .

$$x=\frac{270\pi -105}{30\pi }$$

Whakawehe 270\pi -105 ki te 30\pi .

$$x=-\frac{7}{2\pi }+9$$