Whakaoti i te 24x^2-14x=6b

$$24 x ^ { 2 } - 14 x = 6 b$$

Whakaoti mō b

$$b=\frac{x\left(12x-7\right)}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$6b=24x^{2}-14x$$

Whakawehea ngā taha e rua ki te 6.

$$\frac{6b}{6}=\frac{2x\left(12x-7\right)}{6}$$

Mā te whakawehe ki te 6 ka wetekia te whakareanga ki te 6.

$$b=\frac{2x\left(12x-7\right)}{6}$$

Whakawehe 2x\left(-7+12x\right) ki te 6.

$$b=\frac{x\left(12x-7\right)}{3}$$

Whakaoti mō x (complex solution)

$$x=\frac{\sqrt{144b+49}+7}{24}$$

$$x=\frac{-\sqrt{144b+49}+7}{24}$$

Whakaoti mō x

$$x=\frac{\sqrt{144b+49}+7}{24}$$

$$x=\frac{-\sqrt{144b+49}+7}{24}\text{, }b\geq -\frac{49}{144}$$