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Solvi għal x (complex solution)
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Solvi għal x
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\left(\frac{7}{12}+\frac{245}{50}\times \frac{x}{48+52}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Naqqas il-frazzjoni \frac{28}{48} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.
\left(\frac{7}{12}+\frac{49}{10}\times \frac{x}{48+52}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Naqqas il-frazzjoni \frac{245}{50} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.
\left(\frac{7}{12}+\frac{49}{10}\times \frac{x}{100}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Żid 48 u 52 biex tikseb 100.
\left(\frac{7}{12}+\frac{49x}{10\times 100}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Immultiplika \frac{49}{10} b'\frac{x}{100} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.
\left(\frac{7\times 250}{3000}+\frac{3\times 49x}{3000}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 12 u 10\times 100 huwa 3000. Immultiplika \frac{7}{12} b'\frac{250}{250}. Immultiplika \frac{49x}{10\times 100} b'\frac{3}{3}.
\frac{7\times 250+3\times 49x}{3000}\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Billi \frac{7\times 250}{3000} u \frac{3\times 49x}{3000} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.
\frac{1750+147x}{3000}\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Agħmel il-multiplikazzjonijiet fi 7\times 250+3\times 49x.
\frac{1750+147x}{3000}\times 0+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Immultiplika 0 u 1 biex tikseb 0.
0+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Xi ħaġa mmultiplikata b'żero jirriżulta f'żero.
0+\frac{4}{5}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Naqqas il-frazzjoni \frac{8}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.
0+0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Immultiplika \frac{4}{5} u 0 biex tikseb 0.
0+0+\frac{15}{30}\times 0\times 75=0\times 5
Immultiplika 0 u 15 biex tikseb 0.
\frac{15}{30}\times 0\times 75=0\times 5
Żid 0 u 0 biex tikseb 0.
\frac{1}{2}\times 0\times 75=0\times 5
Naqqas il-frazzjoni \frac{15}{30} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 15.
0\times 75=0\times 5
Immultiplika \frac{1}{2} u 0 biex tikseb 0.
0=0\times 5
Immultiplika 0 u 75 biex tikseb 0.
0=0
Immultiplika 0 u 5 biex tikseb 0.
\text{true}
Qabbel 0 u 0.
x\in \mathrm{C}
Din hija vera għal kwalunkwe x.
\left(\frac{7}{12}+\frac{245}{50}\times \frac{x}{48+52}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Naqqas il-frazzjoni \frac{28}{48} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.
\left(\frac{7}{12}+\frac{49}{10}\times \frac{x}{48+52}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Naqqas il-frazzjoni \frac{245}{50} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.
\left(\frac{7}{12}+\frac{49}{10}\times \frac{x}{100}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Żid 48 u 52 biex tikseb 100.
\left(\frac{7}{12}+\frac{49x}{10\times 100}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Immultiplika \frac{49}{10} b'\frac{x}{100} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.
\left(\frac{7\times 250}{3000}+\frac{3\times 49x}{3000}\right)\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 12 u 10\times 100 huwa 3000. Immultiplika \frac{7}{12} b'\frac{250}{250}. Immultiplika \frac{49x}{10\times 100} b'\frac{3}{3}.
\frac{7\times 250+3\times 49x}{3000}\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Billi \frac{7\times 250}{3000} u \frac{3\times 49x}{3000} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.
\frac{1750+147x}{3000}\times 0\times 1+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Agħmel il-multiplikazzjonijiet fi 7\times 250+3\times 49x.
\frac{1750+147x}{3000}\times 0+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Immultiplika 0 u 1 biex tikseb 0.
0+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Xi ħaġa mmultiplikata b'żero jirriżulta f'żero.
0+\frac{4}{5}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Naqqas il-frazzjoni \frac{8}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.
0+0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Immultiplika \frac{4}{5} u 0 biex tikseb 0.
0+0+\frac{15}{30}\times 0\times 75=0\times 5
Immultiplika 0 u 15 biex tikseb 0.
\frac{15}{30}\times 0\times 75=0\times 5
Żid 0 u 0 biex tikseb 0.
\frac{1}{2}\times 0\times 75=0\times 5
Naqqas il-frazzjoni \frac{15}{30} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 15.
0\times 75=0\times 5
Immultiplika \frac{1}{2} u 0 biex tikseb 0.
0=0\times 5
Immultiplika 0 u 75 biex tikseb 0.
0=0
Immultiplika 0 u 5 biex tikseb 0.
\text{true}
Qabbel 0 u 0.
x\in \mathrm{R}
Din hija vera għal kwalunkwe x.