x uchun yechish (complex solution)
x\in \mathrm{C}
x uchun yechish
x\in \mathrm{R}
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Klipbordga nusxa olish
\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
\frac{28}{48} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\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
\frac{245}{50} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\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
100 olish uchun 48 va 52'ni qo'shing.
\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
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{49}{10} ni \frac{x}{100} ga ko‘paytiring.
\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
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12 va 10\times 100 ning eng kichik umumiy karralisi 3000. \frac{7}{12} ni \frac{250}{250} marotabaga ko'paytirish. \frac{49x}{10\times 100} ni \frac{3}{3} marotabaga ko'paytirish.
\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
\frac{7\times 250}{3000} va \frac{3\times 49x}{3000} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\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
7\times 250+3\times 49x ichidagi ko‘paytirishlarni bajaring.
\frac{1750+147x}{3000}\times 0+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
0 hosil qilish uchun 0 va 1 ni ko'paytirish.
0+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.
0+\frac{4}{5}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
\frac{8}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
0+0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
0 hosil qilish uchun \frac{4}{5} va 0 ni ko'paytirish.
0+0+\frac{15}{30}\times 0\times 75=0\times 5
0 hosil qilish uchun 0 va 15 ni ko'paytirish.
\frac{15}{30}\times 0\times 75=0\times 5
0 olish uchun 0 va 0'ni qo'shing.
\frac{1}{2}\times 0\times 75=0\times 5
\frac{15}{30} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
0\times 75=0\times 5
0 hosil qilish uchun \frac{1}{2} va 0 ni ko'paytirish.
0=0\times 5
0 hosil qilish uchun 0 va 75 ni ko'paytirish.
0=0
0 hosil qilish uchun 0 va 5 ni ko'paytirish.
\text{true}
0 va 0 ni taqqoslang.
x\in \mathrm{C}
Bu har qanday x uchun to‘g‘ri.
\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
\frac{28}{48} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\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
\frac{245}{50} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\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
100 olish uchun 48 va 52'ni qo'shing.
\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
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{49}{10} ni \frac{x}{100} ga ko‘paytiring.
\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
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12 va 10\times 100 ning eng kichik umumiy karralisi 3000. \frac{7}{12} ni \frac{250}{250} marotabaga ko'paytirish. \frac{49x}{10\times 100} ni \frac{3}{3} marotabaga ko'paytirish.
\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
\frac{7\times 250}{3000} va \frac{3\times 49x}{3000} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\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
7\times 250+3\times 49x ichidagi ko‘paytirishlarni bajaring.
\frac{1750+147x}{3000}\times 0+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
0 hosil qilish uchun 0 va 1 ni ko'paytirish.
0+\frac{8}{10}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.
0+\frac{4}{5}\times 0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
\frac{8}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
0+0\times 15+\frac{15}{30}\times 0\times 75=0\times 5
0 hosil qilish uchun \frac{4}{5} va 0 ni ko'paytirish.
0+0+\frac{15}{30}\times 0\times 75=0\times 5
0 hosil qilish uchun 0 va 15 ni ko'paytirish.
\frac{15}{30}\times 0\times 75=0\times 5
0 olish uchun 0 va 0'ni qo'shing.
\frac{1}{2}\times 0\times 75=0\times 5
\frac{15}{30} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
0\times 75=0\times 5
0 hosil qilish uchun \frac{1}{2} va 0 ni ko'paytirish.
0=0\times 5
0 hosil qilish uchun 0 va 75 ni ko'paytirish.
0=0
0 hosil qilish uchun 0 va 5 ni ko'paytirish.
\text{true}
0 va 0 ni taqqoslang.
x\in \mathrm{R}
Bu har qanday x uchun to‘g‘ri.
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