Whakaoti i te {l}{(x+3)*x=(x+8)*(x-3)xi}{2x+3x=2x-3x+8x-24}

$$\left. \begin{array} { l } { ( x + 3 ) \cdot x = ( x + 8 ) \cdot ( x - 3 ) \xi } \\ { 2 x + 3 x = 2 x - 3 x + 8 x - 24 } \end{array} \right.$$

Whakaoti mō x, ξ

$$x=12$$

$$\xi =1$$

Ngā Upane Otinga

Whakaarohia te whārite tuarua. Pahekotia te 2x me 3x, ka 5x.

$$5x=2x-3x+8x-24$$

Pahekotia te 2x me -3x, ka -x.

$$5x=-x+8x-24$$

Pahekotia te -x me 8x, ka 7x.

$$5x=7x-24$$

Tangohia te 7x mai i ngā taha e rua.

$$5x-7x=-24$$

Pahekotia te 5x me -7x, ka -2x.

$$-2x=-24$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{-24}{-2}$$

Whakawehea te -24 ki te -2, kia riro ko 12.

$$x=12$$

Whakaarohia te whārite tuatahi. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$\left(12+3\right)\times 12=\left(12+8\right)\left(12-3\right)\xi$$

Tāpirihia te 12 ki te 3, ka 15.

$$15\times 12=\left(12+8\right)\left(12-3\right)\xi$$

Whakareatia te 15 ki te 12, ka 180.

$$180=\left(12+8\right)\left(12-3\right)\xi$$

Tāpirihia te 12 ki te 8, ka 20.

$$180=20\left(12-3\right)\xi$$

Tangohia te 3 i te 12, ka 9.

$$180=20\times 9\xi$$

Whakareatia te 20 ki te 9, ka 180.

$$180=180\xi$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$180\xi =180$$

Whakawehea ngā taha e rua ki te 180.

$$\xi =\frac{180}{180}$$

Whakawehea te 180 ki te 180, kia riro ko 1.

$$\xi =1$$

Kua oti te pūnaha te whakatau.

$$x=12 \xi =1$$