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Tauwehe
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Tohaina

2\left(n^{2}-n\right)
Tauwehea te 2.
n\left(n-1\right)
Whakaarohia te n^{2}-n. Tauwehea te n.
2n\left(n-1\right)
Me tuhi anō te kīanga whakatauwehe katoa.
2n^{2}-2n=0
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.
n=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}}}{2\times 2}
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.
n=\frac{-\left(-2\right)±2}{2\times 2}
Tuhia te pūtakerua o te \left(-2\right)^{2}.
n=\frac{2±2}{2\times 2}
Ko te tauaro o -2 ko 2.
n=\frac{2±2}{4}
Whakareatia 2 ki te 2.
n=\frac{4}{4}
Nā, me whakaoti te whārite n=\frac{2±2}{4} ina he tāpiri te ±. Tāpiri 2 ki te 2.
n=1
Whakawehe 4 ki te 4.
n=\frac{0}{4}
Nā, me whakaoti te whārite n=\frac{2±2}{4} ina he tango te ±. Tango 2 mai i 2.
n=0
Whakawehe 0 ki te 4.
2n^{2}-2n=2\left(n-1\right)n
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}.