Whakaoti i te m=2(x+2)/x-2(x-2)

$$m = \frac { 2 ( x + 2 ) } { x - 2 ( x - 2 ) }$$

Whakaoti mō x

$$x=-\frac{4\left(1-m\right)}{m+2}$$

$$m\neq -2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 4 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te -x+4.

$$m\left(-x+4\right)=2\left(x+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te m ki te -x+4.

$$-mx+4m=2\left(x+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x+2.

$$-mx+4m=2x+4$$

Tangohia te 2x mai i ngā taha e rua.

$$-mx+4m-2x=4$$

Tangohia te 4m mai i ngā taha e rua.

$$-mx-2x=4-4m$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(-m-2\right)x=4-4m$$

Whakawehea ngā taha e rua ki te -m-2.

$$\frac{\left(-m-2\right)x}{-m-2}=\frac{4-4m}{-m-2}$$

Mā te whakawehe ki te -m-2 ka wetekia te whakareanga ki te -m-2.

$$x=\frac{4-4m}{-m-2}$$

Whakawehe 4-4m ki te -m-2.

$$x=-\frac{4\left(1-m\right)}{m+2}$$

Tē taea kia ōrite te tāupe x ki 4.

$$x=-\frac{4\left(1-m\right)}{m+2}\text{, }x\neq 4$$

Whakaoti mō m

$$m=\frac{2\left(x+2\right)}{4-x}$$

$$x\neq 4$$