Issolvi p=4(3p(p+q))

$$p = 4 ( 3 p ( p + q ) )$$

Solvi għal q

$$\left\{\begin{matrix}\\q=\frac{1}{12}-p\text{, }&\text{unconditionally}\\q\in \mathrm{R}\text{, }&p=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika 4 u 3 biex tikseb 12.

$$p=12p\left(p+q\right)$$

Uża l-propjetà distributtiva biex timmultiplika 12p b'p+q.

$$p=12p^{2}+12pq$$

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

$$12p^{2}+12pq=p$$

Naqqas 12p^{2} miż-żewġ naħat.

$$12pq=p-12p^{2}$$

Iddividi ż-żewġ naħat b'12p.

$$\frac{12pq}{12p}=\frac{p\left(1-12p\right)}{12p}$$

Meta tiddividi b'12p titneħħa l-multiplikazzjoni b'12p.

$$q=\frac{p\left(1-12p\right)}{12p}$$

Iddividi p\left(1-12p\right) b'12p.

$$q=\frac{1}{12}-p$$

Solvi għal p

$$p=\frac{1}{12}-q$$

$$p=0$$