\[64x^{2} - 48x + 9 = 0\]
\[(8x - 3)^{2} = 0\]
\[8x - 3 = 0\]
\[8x = 3\]
\[x = \frac{3}{8}.\]
\[Ответ:x = \frac{3}{8}\text{.\ }\]