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

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

Solvi għal x

$$x=-\frac{7}{2\pi }+9\approx 7.885915398$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika 2 u 2 biex tikseb 4. Immultiplika 14 u 1 biex tikseb 14.

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

Uża l-propjetà distributtiva biex timmultiplika \frac{15}{2} b'4\pi x+14.

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

Esprimi \frac{15}{2}\times 4 bħala frazzjoni waħda.

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

Immultiplika 15 u 4 biex tikseb 60.

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

Iddividi 60 b'2 biex tikseb30.

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

Esprimi \frac{15}{2}\times 14 bħala frazzjoni waħda.

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

Immultiplika 15 u 14 biex tikseb 210.

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

Iddividi 210 b'2 biex tikseb105.

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

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

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

Naqqas 105 miż-żewġ naħat.

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

Iddividi ż-żewġ naħat b'30\pi .

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

Meta tiddividi b'30\pi titneħħa l-multiplikazzjoni b'30\pi .

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

Iddividi 270\pi -105 b'30\pi .

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