Решите уравнение x/(x+6)-36/(x^2+6x)=0.

\[\frac{x}{x + 6} - \frac{36}{x^{2} + 6x} = 0\]

\[\frac{x^{\backslash x}}{x + 6} - \frac{36}{x(x + 6)} = 0\]

\[x^{2} - 36 = 0;\ \ \ \ \ x \neq 0;\ \ x \neq - 6\]

\[x^{2} = 36\]

\[x = 6;\ \ x = - 6\ (не\ подходит)\]

\[Ответ:x = 6.\]