Whakaoti mō x
x=-3
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Tohaina
Kua tāruatia ki te papatopenga
\left(2x\right)^{2}-9-4x\left(x+1\right)=2\left(x+3\right)+3
Whakaarohia te \left(2x-3\right)\left(2x+3\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 3.
2^{2}x^{2}-9-4x\left(x+1\right)=2\left(x+3\right)+3
Whakarohaina te \left(2x\right)^{2}.
4x^{2}-9-4x\left(x+1\right)=2\left(x+3\right)+3
Tātaihia te 2 mā te pū o 2, kia riro ko 4.
4x^{2}-9-4x\left(x+1\right)=2x+6+3
Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x+3.
4x^{2}-9-4x\left(x+1\right)=2x+9
Tāpirihia te 6 ki te 3, ka 9.
4x^{2}-9-4x\left(x+1\right)-2x=9
Tangohia te 2x mai i ngā taha e rua.
4x^{2}-9-4x^{2}-4x-2x=9
Whakamahia te āhuatanga tohatoha hei whakarea te -4x ki te x+1.
-9-4x-2x=9
Pahekotia te 4x^{2} me -4x^{2}, ka 0.
-9-6x=9
Pahekotia te -4x me -2x, ka -6x.
-6x=9+9
Me tāpiri te 9 ki ngā taha e rua.
-6x=18
Tāpirihia te 9 ki te 9, ka 18.
x=\frac{18}{-6}
Whakawehea ngā taha e rua ki te -6.
x=-3
Whakawehea te 18 ki te -6, kia riro ko -3.
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