Whakaoti i te (x+6)^2=(x+14)(x+2)

$$( x + 6 ) ^ { 2 } = ( x + 14 ) ( x + 2 )$$

Whakaoti mō x

$$x=2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+6\right)^{2}.

$$x^{2}+12x+36=\left(x+14\right)\left(x+2\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x+14 ki te x+2 ka whakakotahi i ngā kupu rite.

$$x^{2}+12x+36=x^{2}+16x+28$$

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

$$x^{2}+12x+36-x^{2}=16x+28$$

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

$$12x+36=16x+28$$

Tangohia te 16x mai i ngā taha e rua.

$$12x+36-16x=28$$

Pahekotia te 12x me -16x, ka -4x.

$$-4x+36=28$$

Tangohia te 36 mai i ngā taha e rua.

$$-4x=28-36$$

Tangohia te 36 i te 28, ka -8.

$$-4x=-8$$

Whakawehea ngā taha e rua ki te -4.

$$x=\frac{-8}{-4}$$

Whakawehea te -8 ki te -4, kia riro ko 2.

$$x=2$$