Whakaoti i te 300*0n^2/2=78*3000*(430-x)

$$300 \times 0 n ^ { 2 } / 2 = 78 \times 3000 \times ( 430 - x )$$

Whakaoti mō x

$$x=430$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 2.

$$300\times 0n^{2}=156\times 3000\left(430-x\right)$$

Whakareatia te 300 ki te 0, ka 0.

$$0n^{2}=156\times 3000\left(430-x\right)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0=156\times 3000\left(430-x\right)$$

Whakareatia te 156 ki te 3000, ka 468000.

$$0=468000\left(430-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 468000 ki te 430-x.

$$0=201240000-468000x$$

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

$$201240000-468000x=0$$

Tangohia te 201240000 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-468000x=-201240000$$

Whakawehea ngā taha e rua ki te -468000.

$$x=\frac{-201240000}{-468000}$$

Whakawehea te -201240000 ki te -468000, kia riro ko 430.

$$x=430$$

Whakaoti mō n (complex solution)

$$n\in \mathrm{C}$$

$$x=430$$

Whakaoti mō n

$$n\in \mathrm{R}$$

$$x=430$$