Whakaoti i te -6=a(z+1)*(2-4)

$$- 6 = a ( z + 1 ) \cdot ( 2 - 4 )$$

Whakaoti mō a

$$a=\frac{3}{z+1}$$

$$z\neq -1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 4 i te 2, ka -2.

$$-6=a\left(z+1\right)\left(-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te a ki te z+1.

$$-6=\left(az+a\right)\left(-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te az+a ki te -2.

$$-6=-2az-2a$$

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

$$-2az-2a=-6$$

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

$$\left(-2z-2\right)a=-6$$

Whakawehea ngā taha e rua ki te -2z-2.

$$\frac{\left(-2z-2\right)a}{-2z-2}=-\frac{6}{-2z-2}$$

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

$$a=-\frac{6}{-2z-2}$$

Whakawehe -6 ki te -2z-2.

$$a=\frac{3}{z+1}$$

Whakaoti mō z

$$z=-1+\frac{3}{a}$$

$$a\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 4 i te 2, ka -2.

$$-6=a\left(z+1\right)\left(-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te a ki te z+1.

$$-6=\left(az+a\right)\left(-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te az+a ki te -2.

$$-6=-2az-2a$$

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

$$-2az-2a=-6$$

Me tāpiri te 2a ki ngā taha e rua.

$$-2az=-6+2a$$

He hanga arowhānui tō te whārite.

$$\left(-2a\right)z=2a-6$$

Whakawehea ngā taha e rua ki te -2a.

$$\frac{\left(-2a\right)z}{-2a}=\frac{2a-6}{-2a}$$

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

$$z=\frac{2a-6}{-2a}$$

Whakawehe -6+2a ki te -2a.

$$z=-1+\frac{3}{a}$$