Whakaoti i te (2-ai)(a_{n}+4)=36

$$( 2 - a i ) ( a _ { n } + 4 ) = 36$$

Whakaoti mō a

$$a=\frac{2\left(a_{n}-14\right)}{ia_{n}+4i}$$

$$a_{n}\neq -4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2-ai ki te a_{n}+4.

$$\left(2-ai\right)a_{n}+4\left(2-ai\right)=36$$

Whakareatia te -1 ki te i, ka -i.

$$\left(2-ia\right)a_{n}+4\left(2-ai\right)=36$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2-ia ki te a_{n}.

$$2a_{n}-iaa_{n}+4\left(2-ai\right)=36$$

Whakareatia te -1 ki te i, ka -i.

$$2a_{n}-iaa_{n}+4\left(2-ia\right)=36$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 2-ia.

$$2a_{n}-iaa_{n}+8-4ia=36$$

Tangohia te 2a_{n} mai i ngā taha e rua.

$$-iaa_{n}+8-4ia=36-2a_{n}$$

Tangohia te 8 mai i ngā taha e rua.

$$-iaa_{n}-4ia=36-2a_{n}-8$$

Tangohia te 8 i te 36, ka 28.

$$-iaa_{n}-4ia=28-2a_{n}$$

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

$$\left(-ia_{n}-4i\right)a=28-2a_{n}$$

He hanga arowhānui tō te whārite.

$$\left(-4i-ia_{n}\right)a=28-2a_{n}$$

Whakawehea ngā taha e rua ki te -ia_{n}-4i.

$$\frac{\left(-4i-ia_{n}\right)a}{-4i-ia_{n}}=\frac{28-2a_{n}}{-4i-ia_{n}}$$

Mā te whakawehe ki te -ia_{n}-4i ka wetekia te whakareanga ki te -ia_{n}-4i.

$$a=\frac{28-2a_{n}}{-4i-ia_{n}}$$

Whakawehe 28-2a_{n} ki te -ia_{n}-4i.

$$a=-\frac{2\left(14-a_{n}\right)}{ia_{n}+4i}$$

Whakaoti mō a_n

$$a_{n}=\frac{4\left(ia+7\right)}{2-ia}$$

$$a\neq -2i$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2-ai ki te a_{n}+4.

$$\left(2-ai\right)a_{n}+4\left(2-ai\right)=36$$

Tangohia te 4\left(2-ai\right) mai i ngā taha e rua.

$$\left(2-ai\right)a_{n}=36-4\left(2-ai\right)$$

Whakareatia te -1 ki te i, ka -i.

$$\left(2-ia\right)a_{n}=36-4\left(2-ai\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2-ia ki te a_{n}.

$$2a_{n}-iaa_{n}=36-4\left(2-ai\right)$$

Whakareatia te -1 ki te i, ka -i.

$$2a_{n}-iaa_{n}=36-4\left(2-ia\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 2-ia.

$$2a_{n}-iaa_{n}=36-8+4ia$$

Tangohia te 8 i te 36, ka 28.

$$2a_{n}-iaa_{n}=28+4ia$$

Pahekotia ngā kīanga tau katoa e whai ana i te a_{n}.

$$\left(2-ia\right)a_{n}=28+4ia$$

He hanga arowhānui tō te whārite.

$$\left(2-ia\right)a_{n}=4ia+28$$

Whakawehea ngā taha e rua ki te 2-ia.

$$\frac{\left(2-ia\right)a_{n}}{2-ia}=\frac{4ia+28}{2-ia}$$

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

$$a_{n}=\frac{4ia+28}{2-ia}$$

Whakawehe 28+4ia ki te 2-ia.

$$a_{n}=\frac{4\left(ia+7\right)}{2-ia}$$