Cazul 1: [tex]a \neq -\frac{15}{16}[/tex]
[tex]$\frac{2}{5}(3 - \frac{8}{3}x) = a^{-1}x \vert \cdot 15\\$[/tex]
[tex]6(3-\frac{8}{3}x) = 15a^{-1}x\\18 - 16x = 15a^{-1}x\\x(15a^{-1} + 16) = 18\\[/tex]
[tex]$x = \frac{18}{15a^{-1} + 16}[/tex]
Cazul 2: [tex]$a = -\frac{15}{16} \implies a^{-1} = -\frac{16}{15}$[/tex]
[tex]18 - 16x = 15a^{-1}x \iff 18 - 16x = 15 \cdot (-\frac{16}{15})x \iff 18 - 16x = -16x \implies x \in \O[/tex]
