Issolvi 15/p+6p-5/p+2=6

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

Solvi għal p

$$p=15$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli p ma jistax ikun ugwali għal kwalunkwe mill-valuri -2,0 billi d-diviżjoni b'żero mhix definita. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'p\left(p+2\right), l-inqas denominatur komuni ta' p,p+2.

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

Uża l-propjetà distributtiva biex timmultiplika p+2 b'15.

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

Uża l-propjetà distributtiva biex timmultiplika p b'6p-5.

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

Ikkombina 15p u -5p biex tikseb 10p.

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

Uża l-propjetà distributtiva biex timmultiplika 6p b'p+2.

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

Naqqas 6p^{2} miż-żewġ naħat.

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

Ikkombina 6p^{2} u -6p^{2} biex tikseb 0.

$$10p+30=12p$$

Naqqas 12p miż-żewġ naħat.

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

Ikkombina 10p u -12p biex tikseb -2p.

$$-2p+30=0$$

Naqqas 30 miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$-2p=-30$$

Iddividi ż-żewġ naħat b'-2.

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

Iddividi -30 b'-2 biex tikseb15.

$$p=15$$