Issolvi 81=z^2(3m+2)

$$81 = z ^ { 2 } ( 3 m + 2 )$$

Solvi għal m

$$m=-\frac{2}{3}+\frac{27}{z^{2}}$$

$$z\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika z^{2} b'3m+2.

$$81=3z^{2}m+2z^{2}$$

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

$$3z^{2}m+2z^{2}=81$$

Naqqas 2z^{2} miż-żewġ naħat.

$$3z^{2}m=81-2z^{2}$$

Iddividi ż-żewġ naħat b'3z^{2}.

$$\frac{3z^{2}m}{3z^{2}}=\frac{81-2z^{2}}{3z^{2}}$$

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

$$m=\frac{81-2z^{2}}{3z^{2}}$$

Iddividi 81-2z^{2} b'3z^{2}.

$$m=-\frac{2}{3}+\frac{27}{z^{2}}$$

Solvi għal z (complex solution)

$$z=-9\left(3m+2\right)^{-\frac{1}{2}}$$

$$z=9\left(3m+2\right)^{-\frac{1}{2}}\text{, }m\neq -\frac{2}{3}$$

Solvi għal z

$$z=\frac{9}{\sqrt{3m+2}}$$

$$z=-\frac{9}{\sqrt{3m+2}}\text{, }m>-\frac{2}{3}$$