Whakaoti i te 4x-(2x+3)(3x-5)=49-(6x-1)(x-2)

$$4 x - ( 2 x + 3 ) ( 3 x - 5 ) = 49 - ( 6 x - 1 ) ( x - 2 )$$

Whakaoti mō x

$$x=-4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tuaritanga hei whakarea te 2x+3 ki te 3x-5 ka whakakotahi i ngā kupu rite.

$$4x-\left(6x^{2}-x-15\right)=49-\left(6x-1\right)\left(x-2\right)$$

Hei kimi i te tauaro o 6x^{2}-x-15, kimihia te tauaro o ia taurangi.

$$4x-6x^{2}+x+15=49-\left(6x-1\right)\left(x-2\right)$$

Pahekotia te 4x me x, ka 5x.

$$5x-6x^{2}+15=49-\left(6x-1\right)\left(x-2\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 6x-1 ki te x-2 ka whakakotahi i ngā kupu rite.

$$5x-6x^{2}+15=49-\left(6x^{2}-13x+2\right)$$

Hei kimi i te tauaro o 6x^{2}-13x+2, kimihia te tauaro o ia taurangi.

$$5x-6x^{2}+15=49-6x^{2}+13x-2$$

Tangohia te 2 i te 49, ka 47.

$$5x-6x^{2}+15=47-6x^{2}+13x$$

Me tāpiri te 6x^{2} ki ngā taha e rua.

$$5x-6x^{2}+15+6x^{2}=47+13x$$

Pahekotia te -6x^{2} me 6x^{2}, ka 0.

$$5x+15=47+13x$$

Tangohia te 13x mai i ngā taha e rua.

$$5x+15-13x=47$$

Pahekotia te 5x me -13x, ka -8x.

$$-8x+15=47$$

Tangohia te 15 mai i ngā taha e rua.

$$-8x=47-15$$

Tangohia te 15 i te 47, ka 32.

$$-8x=32$$

Whakawehea ngā taha e rua ki te -8.

$$x=\frac{32}{-8}$$

Whakawehea te 32 ki te -8, kia riro ko -4.

$$x=-4$$