Whakaoti i te P=RT(1-C/Tv^3)

$$P = R T ( 1 - C / T v ^ { 3 } )$$

Whakaoti mō C

$$\left\{\begin{matrix}C=\frac{RT-P}{Rv^{3}}\text{, }&R\neq 0\text{ and }v\neq 0\text{ and }T\neq 0\\C\in \mathrm{R}\text{, }&\left(P=0\text{ and }R=0\text{ and }T\neq 0\right)\text{ or }\left(P=RT\text{ and }v=0\text{ and }T\neq 0\text{ and }R\neq 0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$PT=RT\left(1-\frac{C}{T}v^{3}\right)T$$

Whakareatia te T ki te T, ka T^{2}.

$$PT=RT^{2}\left(1-\frac{C}{T}v^{3}\right)$$

Tuhia te \frac{C}{T}v^{3} hei hautanga kotahi.

$$PT=RT^{2}\left(1-\frac{Cv^{3}}{T}\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{T}{T}.

$$PT=RT^{2}\left(\frac{T}{T}-\frac{Cv^{3}}{T}\right)$$

Tā te mea he rite te tauraro o \frac{T}{T} me \frac{Cv^{3}}{T}, me tango rāua mā te tango i ō raua taurunga.

$$PT=RT^{2}\times \frac{T-Cv^{3}}{T}$$

Tuhia te R\times \frac{T-Cv^{3}}{T} hei hautanga kotahi.

$$PT=\frac{R\left(T-Cv^{3}\right)}{T}T^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te R ki te T-Cv^{3}.

$$PT=\frac{RT-RCv^{3}}{T}T^{2}$$

Tuhia te \frac{RT-RCv^{3}}{T}T^{2} hei hautanga kotahi.

$$PT=\frac{\left(RT-RCv^{3}\right)T^{2}}{T}$$

Me whakakore tahi te T i te taurunga me te tauraro.

$$PT=T\left(-CRv^{3}+RT\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te T ki te -CRv^{3}+RT.

$$PT=-TCRv^{3}+RT^{2}$$

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

$$-TCRv^{3}+RT^{2}=PT$$

Tangohia te RT^{2} mai i ngā taha e rua.

$$-TCRv^{3}=PT-RT^{2}$$

Whakaraupapatia anō ngā kīanga tau.

$$-CRTv^{3}=PT-RT^{2}$$

He hanga arowhānui tō te whārite.

$$\left(-RTv^{3}\right)C=PT-RT^{2}$$

Whakawehea ngā taha e rua ki te -RTv^{3}.

$$\frac{\left(-RTv^{3}\right)C}{-RTv^{3}}=\frac{T\left(P-RT\right)}{-RTv^{3}}$$

Mā te whakawehe ki te -RTv^{3} ka wetekia te whakareanga ki te -RTv^{3}.

$$C=\frac{T\left(P-RT\right)}{-RTv^{3}}$$

Whakawehe T\left(P-RT\right) ki te -RTv^{3}.

$$C=-\frac{P-RT}{Rv^{3}}$$

Whakaoti mō P

$$P=R\left(T-Cv^{3}\right)$$

$$T\neq 0$$