Решите уравнение x/(x-7)-49/(x^2-7x)=0.

\[\frac{x}{x - 7} - \frac{49}{x^{2} - 7x} = 0\]

\[\frac{x^{\backslash x}}{x - 7} - \frac{49}{x(x - 7)} = 0\]

\[x^{2} - 49 = 0;\ \ \ \ \ x \neq 0;\ \ x \neq 7\]

\[x^{2} = 49\]

\[x = 7\ (не\ подходит);\]

\[x = - 7.\]

\[Ответ:x = - 7.\]