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4x^{2}+8x=0
Me tāpiri te 8x ki ngā taha e rua.
x\left(4x+8\right)=0
Tauwehea te x.
x=0 x=-2
Hei kimi otinga whārite, me whakaoti te x=0 me te 4x+8=0.
4x^{2}+8x=0
Me tāpiri te 8x ki ngā taha e rua.
x=\frac{-8±\sqrt{8^{2}}}{2\times 4}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 4 mō a, 8 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{-8±8}{2\times 4}
Tuhia te pūtakerua o te 8^{2}.
x=\frac{-8±8}{8}
Whakareatia 2 ki te 4.
x=\frac{0}{8}
Nā, me whakaoti te whārite x=\frac{-8±8}{8} ina he tāpiri te ±. Tāpiri -8 ki te 8.
x=0
Whakawehe 0 ki te 8.
x=-\frac{16}{8}
Nā, me whakaoti te whārite x=\frac{-8±8}{8} ina he tango te ±. Tango 8 mai i -8.
x=-2
Whakawehe -16 ki te 8.
x=0 x=-2
Kua oti te whārite te whakatau.
4x^{2}+8x=0
Me tāpiri te 8x ki ngā taha e rua.
\frac{4x^{2}+8x}{4}=\frac{0}{4}
Whakawehea ngā taha e rua ki te 4.
x^{2}+\frac{8}{4}x=\frac{0}{4}
Mā te whakawehe ki te 4 ka wetekia te whakareanga ki te 4.
x^{2}+2x=\frac{0}{4}
Whakawehe 8 ki te 4.
x^{2}+2x=0
Whakawehe 0 ki te 4.
x^{2}+2x+1^{2}=1^{2}
Whakawehea te 2, te tau whakarea o te kīanga tau x, ki te 2 kia riro ai te 1. Nā, tāpiria te pūrua o te 1 ki ngā taha e rua o te whārite. Mā konei e pūrua tika tonu ai te taha mauī o te whārite.
x^{2}+2x+1=1
Pūrua 1.
\left(x+1\right)^{2}=1
Tauwehea te x^{2}+2x+1. Ko te tikanga, ina ko x^{2}+bx+c he pūrua tika, ka taea te tauwehe i ngā wā katoa hei \left(x+\frac{b}{2}\right)^{2}.
\sqrt{\left(x+1\right)^{2}}=\sqrt{1}
Tuhia te pūtakerua o ngā taha e rua o te whārite.
x+1=1 x+1=-1
Whakarūnātia.
x=0 x=-2
Me tango 1 mai i ngā taha e rua o te whārite.