Whakaoti i te 6x^2-6x

$$6 x ^ { 2 } - 6 x$$

Tauwehe

$$6x\left(x-1\right)$$

Ngā Upane Otinga

Tauwehea te 6.

$$6\left(x^{2}-x\right)$$

Whakaarohia te x^{2}-x. Tauwehea te x.

$$x\left(x-1\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$6x\left(x-1\right)$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Ka taea te huamaha pūrua te tauwehe mā te whakamahi i te huringa ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), ina ko x_{1} me x_{2} ngā otinga o te whārite pūrua ax^{2}+bx+c=0.

$$6x^{2}-6x=0$$

Ko ngā whārite katoa o te āhua ax^{2}+bx+c=0 ka taea te whakaoti mā te whakamahi i te tikanga tātai pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. E rua ngā otinga ka puta i te tikanga tātai pūrua, ko tētahi ina he tāpiri a ±, ā, ko tētahi ina he tango.

$$x=\frac{-\left(-6\right)±\sqrt{\left(-6\right)^{2}}}{2\times 6}$$

Tuhia te pūtakerua o te \left(-6\right)^{2}.

$$x=\frac{-\left(-6\right)±6}{2\times 6}$$

Ko te tauaro o -6 ko 6.

$$x=\frac{6±6}{2\times 6}$$

Whakareatia 2 ki te 6.

$$x=\frac{6±6}{12}$$

Nā, me whakaoti te whārite x=\frac{6±6}{12} ina he tāpiri te ±. Tāpiri 6 ki te 6.

$$x=\frac{12}{12}$$

Whakawehe 12 ki te 12.

$$x=1$$

Nā, me whakaoti te whārite x=\frac{6±6}{12} ina he tango te ±. Tango 6 mai i 6.

$$x=\frac{0}{12}$$

Whakawehe 0 ki te 12.

$$x=0$$

Tauwehea te kīanga taketake mā te whakamahi i te ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right). Me whakakapi te 1 mō te x_{1} me te 0 mō te x_{2}.

$$6x^{2}-6x=6\left(x-1\right)x$$

Aromātai

$$6x\left(x-1\right)$$