270pi=15/2(2(2pix)+(14)(1)) eching

$$270 \pi = \frac{ 15 }{ 2 } (2(2 \pi x)+(14)(1))$$

x uchun yechish

$$x=-\frac{7}{2\pi }+9\approx 7,885915398$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4 hosil qilish uchun 2 va 2 ni ko'paytirish. 14 hosil qilish uchun 14 va 1 ni ko'paytirish.

$$270\pi =\frac{15}{2}\left(4\pi x+14\right)$$

\frac{15}{2} ga 4\pi x+14 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$270\pi =\frac{15}{2}\times 4\pi x+\frac{15}{2}\times 14$$

\frac{15}{2}\times 4 ni yagona kasrga aylantiring.

$$270\pi =\frac{15\times 4}{2}\pi x+\frac{15}{2}\times 14$$

60 hosil qilish uchun 15 va 4 ni ko'paytirish.

$$270\pi =\frac{60}{2}\pi x+\frac{15}{2}\times 14$$

30 ni olish uchun 60 ni 2 ga bo‘ling.

$$270\pi =30\pi x+\frac{15}{2}\times 14$$

\frac{15}{2}\times 14 ni yagona kasrga aylantiring.

$$270\pi =30\pi x+\frac{15\times 14}{2}$$

210 hosil qilish uchun 15 va 14 ni ko'paytirish.

$$270\pi =30\pi x+\frac{210}{2}$$

105 ni olish uchun 210 ni 2 ga bo‘ling.

$$270\pi =30\pi x+105$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$30\pi x+105=270\pi$$

Ikkala tarafdan 105 ni ayirish.

$$30\pi x=270\pi -105$$

Ikki tarafini 30\pi ga bo‘ling.

$$\frac{30\pi x}{30\pi }=\frac{270\pi -105}{30\pi }$$

30\pi ga bo'lish 30\pi ga ko'paytirishni bekor qiladi.

$$x=\frac{270\pi -105}{30\pi }$$

270\pi -105 ni 30\pi ga bo'lish.

$$x=-\frac{7}{2\pi }+9$$