\[\frac{x^{2} - 36}{x - 6} = 12;\ \ \ \ \ x \neq 6\]
\[x^{2} - 36 = 12 \cdot (x - 6)\]
\[x^{2} - 36 = 12x - 72\]
\[x^{2} - 12x + 36 = 0\]
\[(x - 6)^{2} = 0\]
\[x - 6 = 0\ \ \]
\[x = 6\ (не\ подходит).\]
\[Ответ:нет\ решения.\]