Whakaoti i te 3x^2-2ax-3a=0

$$3 x ^ { 2 } - 2 a x - 3 a = 0$$

Whakaoti mō a

$$a=\frac{3x^{2}}{2x+3}$$

$$x\neq -\frac{3}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 3x^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-2ax-3a=-3x^{2}$$

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

$$\left(-2x-3\right)a=-3x^{2}$$

Whakawehea ngā taha e rua ki te -2x-3.

$$\frac{\left(-2x-3\right)a}{-2x-3}=-\frac{3x^{2}}{-2x-3}$$

Mā te whakawehe ki te -2x-3 ka wetekia te whakareanga ki te -2x-3.

$$a=-\frac{3x^{2}}{-2x-3}$$

Whakawehe -3x^{2} ki te -2x-3.

$$a=\frac{3x^{2}}{2x+3}$$

Whakaoti mō x (complex solution)

$$x=\frac{\sqrt{a\left(a+9\right)}+a}{3}$$

$$x=\frac{-\sqrt{a\left(a+9\right)}+a}{3}$$

Whakaoti mō x

$$x=\frac{\sqrt{a\left(a+9\right)}+a}{3}$$

$$x=\frac{-\sqrt{a\left(a+9\right)}+a}{3}\text{, }a\leq -9\text{ or }a\geq 0$$