Issolvi 6*10^{3}*10*(12/0.6*10^4*4*10^-2-h)=(h*4*10^-2*6*10^3)*10+5.4*10/0.2*0.3

$$6 \times 10 ^ { 3 } \times 10 \times ( \frac { 12 } { 0.6 \times 10 ^ { 4 } \times 4 \times 10 ^ { - 2 } } - h ) = \frac { ( h \times 4 \times 10 ^ { - 2 } \times 6 \times 10 ^ { 3 } ) \times 10 + 5.4 \times 10 } { 0.2 \times 0.3 }$$

Solvi għal h

$$h=0.021$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 4 u -2 biex tikseb 2.

$$6\times 10^{3}\times 10\left(\frac{12}{0.6\times 10^{2}\times 4}-h\right)=\frac{h\times 4\times 10^{-2}\times 6\times 10^{3}\times 10+5.4\times 10}{0.2\times 0.3}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 3 u 1 biex tikseb 4.

$$6\times 10^{4}\left(\frac{12}{0.6\times 10^{2}\times 4}-h\right)=\frac{h\times 4\times 10^{-2}\times 6\times 10^{3}\times 10+5.4\times 10}{0.2\times 0.3}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid -2 u 3 biex tikseb 1.

$$6\times 10^{4}\left(\frac{12}{0.6\times 10^{2}\times 4}-h\right)=\frac{h\times 4\times 10^{1}\times 6\times 10+5.4\times 10}{0.2\times 0.3}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u 1 biex tikseb 2.

$$6\times 10^{4}\left(\frac{12}{0.6\times 10^{2}\times 4}-h\right)=\frac{h\times 4\times 10^{2}\times 6+5.4\times 10}{0.2\times 0.3}$$

Ikkalkula 10 bil-power ta' 4 u tikseb 10000.

$$6\times 10000\left(\frac{12}{0.6\times 10^{2}\times 4}-h\right)=\frac{h\times 4\times 10^{2}\times 6+5.4\times 10}{0.2\times 0.3}$$

Immultiplika 6 u 10000 biex tikseb 60000.

$$60000\left(\frac{12}{0.6\times 10^{2}\times 4}-h\right)=\frac{h\times 4\times 10^{2}\times 6+5.4\times 10}{0.2\times 0.3}$$

Ikkalkula 10 bil-power ta' 2 u tikseb 100.

$$60000\left(\frac{12}{0.6\times 100\times 4}-h\right)=\frac{h\times 4\times 10^{2}\times 6+5.4\times 10}{0.2\times 0.3}$$

Immultiplika 0.6 u 100 biex tikseb 60.

$$60000\left(\frac{12}{60\times 4}-h\right)=\frac{h\times 4\times 10^{2}\times 6+5.4\times 10}{0.2\times 0.3}$$

Immultiplika 60 u 4 biex tikseb 240.

$$60000\left(\frac{12}{240}-h\right)=\frac{h\times 4\times 10^{2}\times 6+5.4\times 10}{0.2\times 0.3}$$

Naqqas il-frazzjoni \frac{12}{240} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 12.

$$60000\left(\frac{1}{20}-h\right)=\frac{h\times 4\times 10^{2}\times 6+5.4\times 10}{0.2\times 0.3}$$

Uża l-propjetà distributtiva biex timmultiplika 60000 b'\frac{1}{20}-h.

$$3000-60000h=\frac{h\times 4\times 10^{2}\times 6+5.4\times 10}{0.2\times 0.3}$$

Ikkalkula 10 bil-power ta' 2 u tikseb 100.

$$3000-60000h=\frac{h\times 4\times 100\times 6+5.4\times 10}{0.2\times 0.3}$$

Immultiplika 4 u 100 biex tikseb 400.

$$3000-60000h=\frac{h\times 400\times 6+5.4\times 10}{0.2\times 0.3}$$

Immultiplika 400 u 6 biex tikseb 2400.

$$3000-60000h=\frac{h\times 2400+5.4\times 10}{0.2\times 0.3}$$

Immultiplika 5.4 u 10 biex tikseb 54.

$$3000-60000h=\frac{h\times 2400+54}{0.2\times 0.3}$$

Immultiplika 0.2 u 0.3 biex tikseb 0.06.

$$3000-60000h=\frac{h\times 2400+54}{0.06}$$

Iddividi kull terminu ta' h\times 2400+54 b'0.06 biex tikseb\frac{h\times 2400}{0.06}+\frac{54}{0.06}.

$$3000-60000h=\frac{h\times 2400}{0.06}+\frac{54}{0.06}$$

Iddividi h\times 2400 b'0.06 biex tiksebh\times 40000.

$$3000-60000h=h\times 40000+\frac{54}{0.06}$$

Espandi \frac{54}{0.06} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$3000-60000h=h\times 40000+\frac{5400}{6}$$

Iddividi 5400 b'6 biex tikseb900.

$$3000-60000h=h\times 40000+900$$

Naqqas h\times 40000 miż-żewġ naħat.

$$3000-60000h-h\times 40000=900$$

Ikkombina -60000h u -h\times 40000 biex tikseb -100000h.

$$3000-100000h=900$$

Naqqas 3000 miż-żewġ naħat.

$$-100000h=900-3000$$

Naqqas 3000 minn 900 biex tikseb -2100.

$$-100000h=-2100$$

Iddividi ż-żewġ naħat b'-100000.

$$h=\frac{-2100}{-100000}$$

Naqqas il-frazzjoni \frac{-2100}{-100000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra -100.

$$h=\frac{21}{1000}$$