\[\frac{x}{x + 2} - \frac{4}{x^{2} + 2x} = 0\]
\[\frac{x^{\backslash x}}{x + 2} - \frac{4}{x(x + 2)} = 0;\ \ \ \ x \neq 0;x \neq - 2\]
\[x^{2} - 4 = 0\]
\[x^{2} = 4\]
\[x = - 2\ (не\ подходит);\]
\[x = 2.\]
\[Ответ:x = 2.\]