Issolvi 90/x+90-40/x+40=02

$$\frac{ 90 }{ x+90 } - \frac{ 40 }{ x+40 } =02$$

Solvi għal x

$$x=0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli x ma jistax ikun ugwali għal kwalunkwe mill-valuri -90,-40 billi d-diviżjoni b'żero mhix definita. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'\left(x+40\right)\left(x+90\right), l-inqas denominatur komuni ta' x+90,x+40.

$$\left(x+40\right)\times 90-\left(x+90\right)\times 40=0\times 2\left(x+40\right)\left(x+90\right)$$

Uża l-propjetà distributtiva biex timmultiplika x+40 b'90.

$$90x+3600-\left(x+90\right)\times 40=0\times 2\left(x+40\right)\left(x+90\right)$$

Uża l-propjetà distributtiva biex timmultiplika x+90 b'40.

$$90x+3600-\left(40x+3600\right)=0\times 2\left(x+40\right)\left(x+90\right)$$

Biex issib l-oppost ta' 40x+3600, sib l-oppost ta' kull terminu.

$$90x+3600-40x-3600=0\times 2\left(x+40\right)\left(x+90\right)$$

Ikkombina 90x u -40x biex tikseb 50x.

$$50x+3600-3600=0\times 2\left(x+40\right)\left(x+90\right)$$

Naqqas 3600 minn 3600 biex tikseb 0.

$$50x=0\times 2\left(x+40\right)\left(x+90\right)$$

Immultiplika 0 u 2 biex tikseb 0.

$$50x=0\left(x+40\right)\left(x+90\right)$$

Xi ħaġa mmultiplikata b'żero jirriżulta f'żero.

$$50x=0$$

Il-prodott taż-żewġ numru huwa ugwali għal 0 jekk tal-inqas wieħed minnhom huwa 0. Billi 50 mhux ugwali għal 0, x irid ikun ugwali għal 0.

$$x=0$$