Whakaoti i te -36x/-36+x=36+(-72)x/(-72)+x

$$\frac { - 36 x } { - 36 + x } = 36 + \frac { ( - 72 ) x } { ( - 72 ) + x }$$

Whakaoti mō x

$$x=24$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara 36,72 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(x-72\right)\left(x-36\right), arā, te tauraro pātahi he tino iti rawa te kitea o -36+x,-72+x.

$$\left(x-72\right)\left(-36\right)x=\left(x-72\right)\left(x-36\right)\times 36+\left(x-36\right)\left(-72\right)x$$

Whakamahia te āhuatanga tohatoha hei whakarea te x-72 ki te -36.

$$\left(-36x+2592\right)x=\left(x-72\right)\left(x-36\right)\times 36+\left(x-36\right)\left(-72\right)x$$

Whakamahia te āhuatanga tohatoha hei whakarea te -36x+2592 ki te x.

$$-36x^{2}+2592x=\left(x-72\right)\left(x-36\right)\times 36+\left(x-36\right)\left(-72\right)x$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x-72 ki te x-36 ka whakakotahi i ngā kupu rite.

$$-36x^{2}+2592x=\left(x^{2}-108x+2592\right)\times 36+\left(x-36\right)\left(-72\right)x$$

Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}-108x+2592 ki te 36.

$$-36x^{2}+2592x=36x^{2}-3888x+93312+\left(x-36\right)\left(-72\right)x$$

Whakamahia te āhuatanga tohatoha hei whakarea te x-36 ki te -72.

$$-36x^{2}+2592x=36x^{2}-3888x+93312+\left(-72x+2592\right)x$$

Whakamahia te āhuatanga tohatoha hei whakarea te -72x+2592 ki te x.

$$-36x^{2}+2592x=36x^{2}-3888x+93312-72x^{2}+2592x$$

Pahekotia te 36x^{2} me -72x^{2}, ka -36x^{2}.

$$-36x^{2}+2592x=-36x^{2}-3888x+93312+2592x$$

Pahekotia te -3888x me 2592x, ka -1296x.

$$-36x^{2}+2592x=-36x^{2}-1296x+93312$$

Me tāpiri te 36x^{2} ki ngā taha e rua.

$$-36x^{2}+2592x+36x^{2}=-1296x+93312$$

Pahekotia te -36x^{2} me 36x^{2}, ka 0.

$$2592x=-1296x+93312$$

Me tāpiri te 1296x ki ngā taha e rua.

$$2592x+1296x=93312$$

Pahekotia te 2592x me 1296x, ka 3888x.

$$3888x=93312$$

Whakawehea ngā taha e rua ki te 3888.

$$x=\frac{93312}{3888}$$

Whakawehea te 93312 ki te 3888, kia riro ko 24.

$$x=24$$