Issolvi -36x/-36+x=36+(-72)x/(-72)+x

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

Solvi għal x

$$x=24$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli x ma jistax ikun ugwali għal kwalunkwe mill-valuri 36,72 billi d-diviżjoni b'żero mhix definita. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'\left(x-72\right)\left(x-36\right), l-inqas denominatur komuni ta' -36+x,-72+x.

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

Uża l-propjetà distributtiva biex timmultiplika x-72 b'-36.

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

Uża l-propjetà distributtiva biex timmultiplika -36x+2592 b'x.

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

Uża l-propjetà distributtiva biex timmultiplika x-72 b'x-36 u kkombina termini simili.

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

Uża l-propjetà distributtiva biex timmultiplika x^{2}-108x+2592 b'36.

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

Uża l-propjetà distributtiva biex timmultiplika x-36 b'-72.

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

Uża l-propjetà distributtiva biex timmultiplika -72x+2592 b'x.

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

Ikkombina 36x^{2} u -72x^{2} biex tikseb -36x^{2}.

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

Ikkombina -3888x u 2592x biex tikseb -1296x.

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

Żid 36x^{2} maż-żewġ naħat.

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

Ikkombina -36x^{2} u 36x^{2} biex tikseb 0.

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

Żid 1296x maż-żewġ naħat.

$$2592x+1296x=93312$$

Ikkombina 2592x u 1296x biex tikseb 3888x.

$$3888x=93312$$

Iddividi ż-żewġ naħat b'3888.

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

Iddividi 93312 b'3888 biex tikseb24.

$$x=24$$