Решите уравнение: x/(x+5)-25/(x^2+5x)=0

\[\frac{x}{x + 5} - \frac{25}{x^{2} + 5x} = 0\]

\[\frac{x^{\backslash x}}{x + 5} - \frac{25}{x(x + 5)} = 0\]

\[\frac{x^{2} - 25}{x(x + 5)} = 0;\ \ x \neq 0;x \neq - 5\]

\[x^{2} - 25 = 0\]

\[x^{2} = 25\]

\[x = \pm 5;\]

\[x = - 5\ (не\ подходит).\]

\[Ответ:x = 5.\]