Issolvi (m)(r-1)(r+3)=5(r+3)

$$( m ) ( r - 1 ) ( r + 3 ) = 5 ( r + 3 )$$

Solvi għal m

$$\left\{\begin{matrix}m=\frac{5}{r-1}\text{, }&r\neq 1\\m\in \mathrm{R}\text{, }&r=-3\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika m b'r-1.

$$\left(mr-m\right)\left(r+3\right)=5\left(r+3\right)$$

Uża l-propjetà distributtiva biex timmultiplika mr-m b'r+3 u kkombina termini simili.

$$mr^{2}+2mr-3m=5\left(r+3\right)$$

Uża l-propjetà distributtiva biex timmultiplika 5 b'r+3.

$$mr^{2}+2mr-3m=5r+15$$

Ikkombina t-termini kollha li fihom m.

$$\left(r^{2}+2r-3\right)m=5r+15$$

Iddividi ż-żewġ naħat b'r^{2}+2r-3.

$$\frac{\left(r^{2}+2r-3\right)m}{r^{2}+2r-3}=\frac{5r+15}{r^{2}+2r-3}$$

Meta tiddividi b'r^{2}+2r-3 titneħħa l-multiplikazzjoni b'r^{2}+2r-3.

$$m=\frac{5r+15}{r^{2}+2r-3}$$

Iddividi 15+5r b'r^{2}+2r-3.

$$m=\frac{5}{r-1}$$

Solvi għal r

$$\left\{\begin{matrix}\\r=-3\text{, }&\text{unconditionally}\\r=\frac{m+5}{m}\text{, }&m\neq 0\end{matrix}\right.$$