Whakaoti i te varepsilon-xvarepsilon=9+xg

$$\varepsilon - x \varepsilon = 9 + x g$$

Whakaoti mō g (complex solution)

$$\left\{\begin{matrix}g=-\frac{x\epsilon -\epsilon +9}{x}\text{, }&x\neq 0\\g\in \mathrm{C}\text{, }&x=0\text{ and }\epsilon =9\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$9+xg=\epsilon -x\epsilon$$

Tangohia te 9 mai i ngā taha e rua.

$$xg=\epsilon -x\epsilon -9$$

He hanga arowhānui tō te whārite.

$$xg=-x\epsilon +\epsilon -9$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xg}{x}=\frac{-x\epsilon +\epsilon -9}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

$$g=\frac{-x\epsilon +\epsilon -9}{x}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=\frac{\epsilon -9}{g+\epsilon }\text{, }&\epsilon \neq -g\\x\in \mathrm{C}\text{, }&\epsilon =9\text{ and }g=-9\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te xg mai i ngā taha e rua.

$$\epsilon -x\epsilon -xg=9$$

Tangohia te \epsilon mai i ngā taha e rua.

$$-x\epsilon -xg=9-\epsilon$$

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

$$\left(-\epsilon -g\right)x=9-\epsilon$$

He hanga arowhānui tō te whārite.

$$\left(-g-\epsilon \right)x=9-\epsilon$$

Whakawehea ngā taha e rua ki te -\epsilon -g.

$$\frac{\left(-g-\epsilon \right)x}{-g-\epsilon }=\frac{9-\epsilon }{-g-\epsilon }$$

Mā te whakawehe ki te -\epsilon -g ka wetekia te whakareanga ki te -\epsilon -g.

$$x=\frac{9-\epsilon }{-g-\epsilon }$$

Whakawehe -\epsilon +9 ki te -\epsilon -g.

$$x=-\frac{9-\epsilon }{g+\epsilon }$$

Whakaoti mō g

$$\left\{\begin{matrix}g=-\frac{x\epsilon -\epsilon +9}{x}\text{, }&x\neq 0\\g\in \mathrm{R}\text{, }&x=0\text{ and }\epsilon =9\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$9+xg=\epsilon -x\epsilon$$

Tangohia te 9 mai i ngā taha e rua.

$$xg=\epsilon -x\epsilon -9$$

He hanga arowhānui tō te whārite.

$$xg=-x\epsilon +\epsilon -9$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xg}{x}=\frac{-x\epsilon +\epsilon -9}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

$$g=\frac{-x\epsilon +\epsilon -9}{x}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\frac{\epsilon -9}{g+\epsilon }\text{, }&\epsilon \neq -g\\x\in \mathrm{R}\text{, }&\epsilon =9\text{ and }g=-9\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te xg mai i ngā taha e rua.

$$\epsilon -x\epsilon -xg=9$$

Tangohia te \epsilon mai i ngā taha e rua.

$$-x\epsilon -xg=9-\epsilon$$

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

$$\left(-\epsilon -g\right)x=9-\epsilon$$

He hanga arowhānui tō te whārite.

$$\left(-g-\epsilon \right)x=9-\epsilon$$

Whakawehea ngā taha e rua ki te -\epsilon -g.

$$\frac{\left(-g-\epsilon \right)x}{-g-\epsilon }=\frac{9-\epsilon }{-g-\epsilon }$$

Mā te whakawehe ki te -\epsilon -g ka wetekia te whakareanga ki te -\epsilon -g.

$$x=\frac{9-\epsilon }{-g-\epsilon }$$

Whakawehe -\epsilon +9 ki te -\epsilon -g.

$$x=-\frac{9-\epsilon }{g+\epsilon }$$