Whakaoti mō x
x=2
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Kua tāruatia ki te papatopenga
4x^{2}+4x+1-\left(2x-1\right)^{2}=16
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(2x+1\right)^{2}.
4x^{2}+4x+1-\left(4x^{2}-4x+1\right)=16
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-1\right)^{2}.
4x^{2}+4x+1-4x^{2}+4x-1=16
Hei kimi i te tauaro o 4x^{2}-4x+1, kimihia te tauaro o ia taurangi.
4x+1+4x-1=16
Pahekotia te 4x^{2} me -4x^{2}, ka 0.
8x+1-1=16
Pahekotia te 4x me 4x, ka 8x.
8x=16
Tangohia te 1 i te 1, ka 0.
x=\frac{16}{8}
Whakawehea ngā taha e rua ki te 8.
x=2
Whakawehea te 16 ki te 8, kia riro ko 2.
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