Whakaoti i te (5-2x)(x-3)-65x=(1-2x)(x-1)+125

$$(5-2x)(x-3)-65x=(1-2x)(x-1)+125$$

Whakaoti mō x

$$x = -\frac{139}{57} = -2\frac{25}{57} \approx -2.438596491$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$11x-15-2x^{2}-65x=\left(1-2x\right)\left(x-1\right)+125$$

Pahekotia te 11x me -65x, ka -54x.

$$-54x-15-2x^{2}=\left(1-2x\right)\left(x-1\right)+125$$

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

$$-54x-15-2x^{2}=3x-1-2x^{2}+125$$

Tāpirihia te -1 ki te 125, ka 124.

$$-54x-15-2x^{2}=3x+124-2x^{2}$$

Tangohia te 3x mai i ngā taha e rua.

$$-54x-15-2x^{2}-3x=124-2x^{2}$$

Pahekotia te -54x me -3x, ka -57x.

$$-57x-15-2x^{2}=124-2x^{2}$$

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

$$-57x-15-2x^{2}+2x^{2}=124$$

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

$$-57x-15=124$$

Me tāpiri te 15 ki ngā taha e rua.

$$-57x=124+15$$

Tāpirihia te 124 ki te 15, ka 139.

$$-57x=139$$

Whakawehea ngā taha e rua ki te -57.

$$x=\frac{139}{-57}$$

Ka taea te hautanga \frac{139}{-57} te tuhi anō ko -\frac{139}{57} mā te tango i te tohu tōraro.

$$x=-\frac{139}{57}$$