Whakaoti i te 15/p+6p-5/p+2=6

$$\frac{ 15 }{ p } + \frac{ 6p-5 }{ p+2 } = 6$$

Whakaoti mō p

$$p=15$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe p ki tētahi o ngā uara -2,0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te p\left(p+2\right), arā, te tauraro pātahi he tino iti rawa te kitea o p,p+2.

$$\left(p+2\right)\times 15+p\left(6p-5\right)=6p\left(p+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te p+2 ki te 15.

$$15p+30+p\left(6p-5\right)=6p\left(p+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te p ki te 6p-5.

$$15p+30+6p^{2}-5p=6p\left(p+2\right)$$

Pahekotia te 15p me -5p, ka 10p.

$$10p+30+6p^{2}=6p\left(p+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6p ki te p+2.

$$10p+30+6p^{2}=6p^{2}+12p$$

Tangohia te 6p^{2} mai i ngā taha e rua.

$$10p+30+6p^{2}-6p^{2}=12p$$

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

$$10p+30=12p$$

Tangohia te 12p mai i ngā taha e rua.

$$10p+30-12p=0$$

Pahekotia te 10p me -12p, ka -2p.

$$-2p+30=0$$

Tangohia te 30 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-2p=-30$$

Whakawehea ngā taha e rua ki te -2.

$$p=\frac{-30}{-2}$$

Whakawehea te -30 ki te -2, kia riro ko 15.

$$p=15$$