Whakaoti i te (x-3)(x+3)=3x(x-1)+3x-9

$$( x - 3 ) ( x + 3 ) = 3 x ( x - 1 ) + 3 x - 9$$

Whakaoti mō x

$$x=0$$

Ngā Upane mā te Kimi Pūtakerua

Whakaarohia te \left(x-3\right)\left(x+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.

$$x^{2}-9=3x\left(x-1\right)+3x-9$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3x ki te x-1.

$$x^{2}-9=3x^{2}-3x+3x-9$$

Pahekotia te -3x me 3x, ka 0.

$$x^{2}-9=3x^{2}-9$$

Tangohia te 3x^{2} mai i ngā taha e rua.

$$x^{2}-9-3x^{2}=-9$$

Pahekotia te x^{2} me -3x^{2}, ka -2x^{2}.

$$-2x^{2}-9=-9$$

Me tāpiri te 9 ki ngā taha e rua.

$$-2x^{2}=-9+9$$

Tāpirihia te -9 ki te 9, ka 0.

$$-2x^{2}=0$$

Whakawehea ngā taha e rua ki te -2. Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$x^{2}=0$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$x=0 x=0$$

Kua oti te whārite te whakatau. He ōrite ngā whakatau.

$$x=0$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakaarohia te \left(x-3\right)\left(x+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.

$$x^{2}-9=3x\left(x-1\right)+3x-9$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3x ki te x-1.

$$x^{2}-9=3x^{2}-3x+3x-9$$

Pahekotia te -3x me 3x, ka 0.

$$x^{2}-9=3x^{2}-9$$

Tangohia te 3x^{2} mai i ngā taha e rua.

$$x^{2}-9-3x^{2}=-9$$

Pahekotia te x^{2} me -3x^{2}, ka -2x^{2}.

$$-2x^{2}-9=-9$$

Me tāpiri te 9 ki ngā taha e rua.

$$-2x^{2}-9+9=0$$

Tāpirihia te -9 ki te 9, ka 0.

$$-2x^{2}=0$$

Whakawehea ngā taha e rua ki te -2. Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$x^{2}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}}}{2}$$

Tuhia te pūtakerua o te 0^{2}.

$$x=\frac{0±0}{2}$$

Whakawehe 0 ki te 2.

$$x=0$$