При каких значениях переменной m сумма дробей 3/m и 3/(m+2) равна 4?

\[\frac{3^{\backslash m + 2}}{m} + \frac{3^{\backslash m}}{m + 2} = 4^{\backslash m(m + 2)}\]

\[ОДЗ:m \neq 0;m \neq - 2;\]

\[3m + 6 + 3m = 4m^{2} + 8m\]

\[4m^{2} + 2m - 6 = 0\ \ \ |\ :2\]

\[2m^{2} + m - 3 = 0\]

\[D = 1 + 24 = 25\]

\[m_{1} = \frac{- 1 + 5}{4} = 1;\]

\[m_{2} = \frac{- 1 - 5}{4} = - \frac{6}{4} = - 1,5.\]

\[Ответ:при\ m = - 1,5;m = 1.\]