Whakaoti mō x
x=-1
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Tohaina
Kua tāruatia ki te papatopenga
x^{2}+2x+1-\left(x+1\right)\left(x-1\right)=0
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+1\right)^{2}.
x^{2}+2x+1-\left(x^{2}-1\right)=0
Whakaarohia te \left(x+1\right)\left(x-1\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 1.
x^{2}+2x+1-x^{2}+1=0
Hei kimi i te tauaro o x^{2}-1, kimihia te tauaro o ia taurangi.
2x+1+1=0
Pahekotia te x^{2} me -x^{2}, ka 0.
2x+2=0
Tāpirihia te 1 ki te 1, ka 2.
2x=-2
Tangohia te 2 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.
x=\frac{-2}{2}
Whakawehea ngā taha e rua ki te 2.
x=-1
Whakawehea te -2 ki te 2, kia riro ko -1.
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