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330!x=0\times 5\times 275
Multiplique ambos os lados da equação por 12.
282408462258387108656010655350984421358230615548447917125973819061204087953410675131671734564885871836994857584240516052408604307341165067052618235515335592584915380124888501444241764715270102858062404841105269072530716903612341880567810839552257654493601149492226043075446286770769000253550746729503424973082816170493716827307049254457005433342709751252779561887750731817363130345796960363500671701037989412254276572406991428638655860396457246350737148451362954300400237985662037640867840591473444985051111706915459551705135096581824248890720926775939456276390199877799787488537304338284684150359621520850944000000000000000000000000000000000000000000000000000000000000000000000000000000000x=0\times 5\times 275
O fatorial de 330 é 282408462258387108656010655350984421358230615548447917125973819061204087953410675131671734564885871836994857584240516052408604307341165067052618235515335592584915380124888501444241764715270102858062404841105269072530716903612341880567810839552257654493601149492226043075446286770769000253550746729503424973082816170493716827307049254457005433342709751252779561887750731817363130345796960363500671701037989412254276572406991428638655860396457246350737148451362954300400237985662037640867840591473444985051111706915459551705135096581824248890720926775939456276390199877799787488537304338284684150359621520850944000000000000000000000000000000000000000000000000000000000000000000000000000000000.
282408462258387108656010655350984421358230615548447917125973819061204087953410675131671734564885871836994857584240516052408604307341165067052618235515335592584915380124888501444241764715270102858062404841105269072530716903612341880567810839552257654493601149492226043075446286770769000253550746729503424973082816170493716827307049254457005433342709751252779561887750731817363130345796960363500671701037989412254276572406991428638655860396457246350737148451362954300400237985662037640867840591473444985051111706915459551705135096581824248890720926775939456276390199877799787488537304338284684150359621520850944000000000000000000000000000000000000000000000000000000000000000000000000000000000x=0\times 275
Multiplique 0 e 5 para obter 0.
282408462258387108656010655350984421358230615548447917125973819061204087953410675131671734564885871836994857584240516052408604307341165067052618235515335592584915380124888501444241764715270102858062404841105269072530716903612341880567810839552257654493601149492226043075446286770769000253550746729503424973082816170493716827307049254457005433342709751252779561887750731817363130345796960363500671701037989412254276572406991428638655860396457246350737148451362954300400237985662037640867840591473444985051111706915459551705135096581824248890720926775939456276390199877799787488537304338284684150359621520850944000000000000000000000000000000000000000000000000000000000000000000000000000000000x=0
Multiplique 0 e 275 para obter 0.
x=0
O produto de dois números é igual a 0, se pelo menos um deles for 0. Uma vez que 282408462258387108656010655350984421358230615548447917125973819061204087953410675131671734564885871836994857584240516052408604307341165067052618235515335592584915380124888501444241764715270102858062404841105269072530716903612341880567810839552257654493601149492226043075446286770769000253550746729503424973082816170493716827307049254457005433342709751252779561887750731817363130345796960363500671701037989412254276572406991428638655860396457246350737148451362954300400237985662037640867840591473444985051111706915459551705135096581824248890720926775939456276390199877799787488537304338284684150359621520850944000000000000000000000000000000000000000000000000000000000000000000000000000000000 não é igual a 0, x tem de ser igual a 0.