\[(a - 2)x² + 5ax - 3a = 0\]
\[D = 25a^{2} + 12a(a - 2) =\]
\[= 25a^{2} + 12a^{2} - 24a =\]
\[= 37a^{2} - 24a\]
\[37a^{2} - 24a < 0\]
\[a(37a - 24) = 0\]
\[a = 0,\ \ a = \frac{24}{37}\]
\[Ответ:\left( 0;\ \frac{24}{37} \right).\]