Whakaoti i te (8x-2)(3x+4)=(4x+3)(6x-1)

$$( 8 x - 2 ) ( 3 x + 4 ) = ( 4 x + 3 ) ( 6 x - 1 )$$

Whakaoti mō x

$$x=\frac{5}{12}\approx 0.416666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tuaritanga hei whakarea te 8x-2 ki te 3x+4 ka whakakotahi i ngā kupu rite.

$$24x^{2}+26x-8=\left(4x+3\right)\left(6x-1\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 4x+3 ki te 6x-1 ka whakakotahi i ngā kupu rite.

$$24x^{2}+26x-8=24x^{2}+14x-3$$

Tangohia te 24x^{2} mai i ngā taha e rua.

$$24x^{2}+26x-8-24x^{2}=14x-3$$

Pahekotia te 24x^{2} me -24x^{2}, ka 0.

$$26x-8=14x-3$$

Tangohia te 14x mai i ngā taha e rua.

$$26x-8-14x=-3$$

Pahekotia te 26x me -14x, ka 12x.

$$12x-8=-3$$

Me tāpiri te 8 ki ngā taha e rua.

$$12x=-3+8$$

Tāpirihia te -3 ki te 8, ka 5.

$$12x=5$$

Whakawehea ngā taha e rua ki te 12.

$$x=\frac{5}{12}$$