Whakaoti i te 4x+3^2=2/-3:-6

$$4 x + 3 ^ { 2 } = \frac { 2 } { - 3 } : - 6$$

Whakaoti mō x

$$x = -\frac{20}{9} = -2\frac{2}{9} \approx -2.222222222$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te -6.

$$-24x-6\times 3^{2}=\frac{2}{-3}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$-24x-6\times 9=\frac{2}{-3}$$

Whakareatia te -6 ki te 9, ka -54.

$$-24x-54=\frac{2}{-3}$$

Ka taea te hautanga \frac{2}{-3} te tuhi anō ko -\frac{2}{3} mā te tango i te tohu tōraro.

$$-24x-54=-\frac{2}{3}$$

Me tāpiri te 54 ki ngā taha e rua.

$$-24x=-\frac{2}{3}+54$$

Me tahuri te 54 ki te hautau \frac{162}{3}.

$$-24x=-\frac{2}{3}+\frac{162}{3}$$

Tā te mea he rite te tauraro o -\frac{2}{3} me \frac{162}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-24x=\frac{-2+162}{3}$$

Tāpirihia te -2 ki te 162, ka 160.

$$-24x=\frac{160}{3}$$

Whakawehea ngā taha e rua ki te -24.

$$x=\frac{\frac{160}{3}}{-24}$$

Tuhia te \frac{\frac{160}{3}}{-24} hei hautanga kotahi.

$$x=\frac{160}{3\left(-24\right)}$$

Whakareatia te 3 ki te -24, ka -72.

$$x=\frac{160}{-72}$$

Whakahekea te hautanga \frac{160}{-72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$x=-\frac{20}{9}$$