Whakaoti i te (8224-x)*(1+5.6%)=x

$$(8224-x) \times (1+5.6 \% )=x$$

Whakaoti mō x

$$x=4224$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakarohaina te \frac{5.6}{100} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\left(8224-x\right)\left(1+\frac{56}{1000}\right)=x$$

Whakahekea te hautanga \frac{56}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\left(8224-x\right)\left(1+\frac{7}{125}\right)=x$$

Me tahuri te 1 ki te hautau \frac{125}{125}.

$$\left(8224-x\right)\left(\frac{125}{125}+\frac{7}{125}\right)=x$$

Tā te mea he rite te tauraro o \frac{125}{125} me \frac{7}{125}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\left(8224-x\right)\times \frac{125+7}{125}=x$$

Tāpirihia te 125 ki te 7, ka 132.

$$\left(8224-x\right)\times \frac{132}{125}=x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8224-x ki te \frac{132}{125}.

$$8224\times \frac{132}{125}-x\times \frac{132}{125}=x$$

Tuhia te 8224\times \frac{132}{125} hei hautanga kotahi.

$$\frac{8224\times 132}{125}-x\times \frac{132}{125}=x$$

Whakareatia te 8224 ki te 132, ka 1085568.

$$\frac{1085568}{125}-x\times \frac{132}{125}=x$$

Whakareatia te -1 ki te \frac{132}{125}, ka -\frac{132}{125}.

$$\frac{1085568}{125}-\frac{132}{125}x=x$$

Tangohia te x mai i ngā taha e rua.

$$\frac{1085568}{125}-\frac{132}{125}x-x=0$$

Pahekotia te -\frac{132}{125}x me -x, ka -\frac{257}{125}x.

$$\frac{1085568}{125}-\frac{257}{125}x=0$$

Tangohia te \frac{1085568}{125} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-\frac{257}{125}x=-\frac{1085568}{125}$$

Me whakarea ngā taha e rua ki te -\frac{125}{257}, te tau utu o -\frac{257}{125}.

$$x=-\frac{1085568}{125}\left(-\frac{125}{257}\right)$$

Me whakarea te -\frac{1085568}{125} ki te -\frac{125}{257} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-1085568\left(-125\right)}{125\times 257}$$

Mahia ngā whakarea i roto i te hautanga \frac{-1085568\left(-125\right)}{125\times 257}.

$$x=\frac{135696000}{32125}$$

Whakawehea te 135696000 ki te 32125, kia riro ko 4224.

$$x=4224$$