Whakaoti i te 57456(x*20-1544)=126

$$57456(x \times 20-1544)=126$$

Whakaoti mō x

$$x = \frac{140813}{1824} = 77\frac{365}{1824} \approx 77.200109649$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 57456.

$$x\times 20-1544=\frac{126}{57456}$$

Whakahekea te hautanga \frac{126}{57456} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 126.

$$x\times 20-1544=\frac{1}{456}$$

Me tāpiri te 1544 ki ngā taha e rua.

$$x\times 20=\frac{1}{456}+1544$$

Me tahuri te 1544 ki te hautau \frac{704064}{456}.

$$x\times 20=\frac{1}{456}+\frac{704064}{456}$$

Tā te mea he rite te tauraro o \frac{1}{456} me \frac{704064}{456}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$x\times 20=\frac{1+704064}{456}$$

Tāpirihia te 1 ki te 704064, ka 704065.

$$x\times 20=\frac{704065}{456}$$

Whakawehea ngā taha e rua ki te 20.

$$x=\frac{\frac{704065}{456}}{20}$$

Tuhia te \frac{\frac{704065}{456}}{20} hei hautanga kotahi.

$$x=\frac{704065}{456\times 20}$$

Whakareatia te 456 ki te 20, ka 9120.

$$x=\frac{704065}{9120}$$

Whakahekea te hautanga \frac{704065}{9120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{140813}{1824}$$