Issolvi (2v(v-7)=5v(r-7)

$$( 2 v ( v - 7 ) = 5 v ( r - 7 )$$

Solvi għal r (complex solution)

$$\left\{\begin{matrix}\\r=\frac{2v+21}{5}\text{, }&\text{unconditionally}\\r\in \mathrm{C}\text{, }&v=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2v b'v-7.

$$2v^{2}-14v=5v\left(r-7\right)$$

Uża l-propjetà distributtiva biex timmultiplika 5v b'r-7.

$$2v^{2}-14v=5vr-35v$$

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

$$5vr-35v=2v^{2}-14v$$

Żid 35v maż-żewġ naħat.

$$5vr=2v^{2}-14v+35v$$

Ikkombina -14v u 35v biex tikseb 21v.

$$5vr=2v^{2}+21v$$

Iddividi ż-żewġ naħat b'5v.

$$\frac{5vr}{5v}=\frac{v\left(2v+21\right)}{5v}$$

Meta tiddividi b'5v titneħħa l-multiplikazzjoni b'5v.

$$r=\frac{v\left(2v+21\right)}{5v}$$

Iddividi v\left(21+2v\right) b'5v.

$$r=\frac{2v+21}{5}$$

Solvi għal r

$$\left\{\begin{matrix}\\r=\frac{2v+21}{5}\text{, }&\text{unconditionally}\\r\in \mathrm{R}\text{, }&v=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2v b'v-7.

$$2v^{2}-14v=5v\left(r-7\right)$$

Uża l-propjetà distributtiva biex timmultiplika 5v b'r-7.

$$2v^{2}-14v=5vr-35v$$

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

$$5vr-35v=2v^{2}-14v$$

Żid 35v maż-żewġ naħat.

$$5vr=2v^{2}-14v+35v$$

Ikkombina -14v u 35v biex tikseb 21v.

$$5vr=2v^{2}+21v$$

Iddividi ż-żewġ naħat b'5v.

$$\frac{5vr}{5v}=\frac{v\left(2v+21\right)}{5v}$$

Meta tiddividi b'5v titneħħa l-multiplikazzjoni b'5v.

$$r=\frac{v\left(2v+21\right)}{5v}$$

Iddividi v\left(21+2v\right) b'5v.

$$r=\frac{2v+21}{5}$$

Solvi għal v

$$v=\frac{5r-21}{2}$$

$$v=0$$