Whakaoti i te 67*10^2-67*x*10+x=0

$$67 \times { 10 }^{ 2 } -67 \times x \times 10+x = 0$$

Whakaoti mō x

$$x = \frac{6700}{669} = 10\frac{10}{669} \approx 10.014947683$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 10 mā te pū o 2, kia riro ko 100.

$$67\times 100-67x\times 10+x=0$$

Whakareatia te 67 ki te 100, ka 6700.

$$6700-67x\times 10+x=0$$

Whakareatia te 67 ki te 10, ka 670.

$$6700-670x+x=0$$

Pahekotia te -670x me x, ka -669x.

$$6700-669x=0$$

Tangohia te 6700 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-669x=-6700$$

Whakawehea ngā taha e rua ki te -669.

$$x=\frac{-6700}{-669}$$

Ka taea te hautanga \frac{-6700}{-669} te whakamāmā ki te \frac{6700}{669} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{6700}{669}$$