Whakaoti i te 5(1029*12)(38*12)^4/384(29000)x=38*12/240

$$\frac { 5 ( 1029 \times 12 ) ( 38 \times 12 ) ^ { 4 } } { 384 ( 29000 ) x } = \frac { 38 \times 12 } { 240 }$$

Whakaoti mō x

$$x = \frac{18294105312}{145} = 126166243\frac{77}{145} \approx 126166243.531034483$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 11136000x, arā, te tauraro pātahi he tino iti rawa te kitea o 384\times 29000x,240.

$$5\times 1029\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Whakareatia te 5 ki te 1029, ka 5145.

$$5145\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Whakareatia te 5145 ki te 12, ka 61740.

$$61740\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Whakareatia te 38 ki te 12, ka 456.

$$61740\times 456^{4}=46400x\times 38\times 12$$

Tātaihia te 456 mā te pū o 4, kia riro ko 43237380096.

$$61740\times 43237380096=46400x\times 38\times 12$$

Whakareatia te 61740 ki te 43237380096, ka 2669475847127040.

$$2669475847127040=46400x\times 38\times 12$$

Whakareatia te 46400 ki te 38, ka 1763200.

$$2669475847127040=1763200x\times 12$$

Whakareatia te 1763200 ki te 12, ka 21158400.

$$2669475847127040=21158400x$$

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

$$21158400x=2669475847127040$$

Whakawehea ngā taha e rua ki te 21158400.

$$x=\frac{2669475847127040}{21158400}$$

Whakahekea te hautanga \frac{2669475847127040}{21158400} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 145920.

$$x=\frac{18294105312}{145}$$