Whakaoti i te 6x(x/3)-1/2[3-(7x+1)]=2x(x-3)+4

$$6 x ( \frac { x } { 3 } ) - \frac { 1 } { 2 } [ 3 - ( 7 x + 1 ) ] = 2 x ( x - 3 ) + 4$$

Whakaoti mō x

$$x=\frac{10}{19}\approx 0.526315789$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 3,2.

$$12xx-3\left(3-\left(7x+1\right)\right)=12x\left(x-3\right)+24$$

Whakareatia te x ki te x, ka x^{2}.

$$12x^{2}-3\left(3-\left(7x+1\right)\right)=12x\left(x-3\right)+24$$

Hei kimi i te tauaro o 7x+1, kimihia te tauaro o ia taurangi.

$$12x^{2}-3\left(3-7x-1\right)=12x\left(x-3\right)+24$$

Tangohia te 1 i te 3, ka 2.

$$12x^{2}-3\left(2-7x\right)=12x\left(x-3\right)+24$$

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 2-7x.

$$12x^{2}-6+21x=12x\left(x-3\right)+24$$

Whakamahia te āhuatanga tohatoha hei whakarea te 12x ki te x-3.

$$12x^{2}-6+21x=12x^{2}-36x+24$$

Tangohia te 12x^{2} mai i ngā taha e rua.

$$12x^{2}-6+21x-12x^{2}=-36x+24$$

Pahekotia te 12x^{2} me -12x^{2}, ka 0.

$$-6+21x=-36x+24$$

Me tāpiri te 36x ki ngā taha e rua.

$$-6+21x+36x=24$$

Pahekotia te 21x me 36x, ka 57x.

$$-6+57x=24$$

Me tāpiri te 6 ki ngā taha e rua.

$$57x=24+6$$

Tāpirihia te 24 ki te 6, ka 30.

$$57x=30$$

Whakawehea ngā taha e rua ki te 57.

$$x=\frac{30}{57}$$

Whakahekea te hautanga \frac{30}{57} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x=\frac{10}{19}$$