Issolvi (8224-x)*(1+5.6%)=x

$$(8224-x) \times (1+5.6 \% )=x$$

Solvi għal x

$$x=4224$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Espandi \frac{5.6}{100} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\left(8224-x\right)\left(1+\frac{56}{1000}\right)=x$$

Naqqas il-frazzjoni \frac{56}{1000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 8.

$$\left(8224-x\right)\left(1+\frac{7}{125}\right)=x$$

Ikkonverti 1 fi frazzjoni \frac{125}{125}.

$$\left(8224-x\right)\left(\frac{125}{125}+\frac{7}{125}\right)=x$$

Billi \frac{125}{125} u \frac{7}{125} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\left(8224-x\right)\times \frac{125+7}{125}=x$$

Żid 125 u 7 biex tikseb 132.

$$\left(8224-x\right)\times \frac{132}{125}=x$$

Uża l-propjetà distributtiva biex timmultiplika 8224-x b'\frac{132}{125}.

$$8224\times \frac{132}{125}-x\times \frac{132}{125}=x$$

Esprimi 8224\times \frac{132}{125} bħala frazzjoni waħda.

$$\frac{8224\times 132}{125}-x\times \frac{132}{125}=x$$

Immultiplika 8224 u 132 biex tikseb 1085568.

$$\frac{1085568}{125}-x\times \frac{132}{125}=x$$

Immultiplika -1 u \frac{132}{125} biex tikseb -\frac{132}{125}.

$$\frac{1085568}{125}-\frac{132}{125}x=x$$

Naqqas x miż-żewġ naħat.

$$\frac{1085568}{125}-\frac{132}{125}x-x=0$$

Ikkombina -\frac{132}{125}x u -x biex tikseb -\frac{257}{125}x.

$$\frac{1085568}{125}-\frac{257}{125}x=0$$

Naqqas \frac{1085568}{125} miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$-\frac{257}{125}x=-\frac{1085568}{125}$$

Immultiplika ż-żewġ naħat b'-\frac{125}{257}, ir-reċiproku ta' -\frac{257}{125}.

$$x=-\frac{1085568}{125}\left(-\frac{125}{257}\right)$$

Immultiplika -\frac{1085568}{125} b'-\frac{125}{257} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$x=\frac{-1085568\left(-125\right)}{125\times 257}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{-1085568\left(-125\right)}{125\times 257}.

$$x=\frac{135696000}{32125}$$

Iddividi 135696000 b'32125 biex tikseb4224.

$$x=4224$$