Whakaoti i te 6(n(-2)^2-(-3))/-5=5n

$$\frac { 6 ( n ( - 2 ) ^ { 2 } - ( - 3 ) ) } { - 5 } = 5 n$$

Whakaoti mō n

$$n=-\frac{18}{49}\approx -0.367346939$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te -5.

$$6\left(n\left(-2\right)^{2}-\left(-3\right)\right)=-25n$$

Tātaihia te -2 mā te pū o 2, kia riro ko 4.

$$6\left(n\times 4-\left(-3\right)\right)=-25n$$

Ko te tauaro o -3 ko 3.

$$6\left(n\times 4+3\right)=-25n$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te n\times 4+3.

$$6n\times 4+18=-25n$$

Whakareatia te 6 ki te 4, ka 24.

$$24n+18=-25n$$

Me tāpiri te 25n ki ngā taha e rua.

$$24n+18+25n=0$$

Pahekotia te 24n me 25n, ka 49n.

$$49n+18=0$$

Tangohia te 18 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$49n=-18$$

Whakawehea ngā taha e rua ki te 49.

$$n=\frac{-18}{49}$$

Ka taea te hautanga \frac{-18}{49} te tuhi anō ko -\frac{18}{49} mā te tango i te tohu tōraro.

$$n=-\frac{18}{49}$$