\[(x - 2)(x - 1)(x + 2)(x + 3) = 60\]
\[\left( (x - 2)(x + 3) \right)\left( (x - 1)(x + 2) \right) = 60\]
\[\left( x^{2} + x - 6 \right)\left( x^{2} + x - 2 \right) = 60\]
\[y = x^{2} + x - 6:\]
\[y(y + 4) = 60\]
\[y^{2} + 4y - 60 = 0\]
\[D = 4 + 60 = 64\]
\[y_{1} = - 2 + 8 = 6;\ \ y_{2} = - 2 - 8 = - 10\]
\[1)\ y = - 10:\]
\[x^{2} + x - 6 = - 10\]
\[x^{2} + x + 4 = 0\]
\[D = 1 - 16 < 0\]
\[нет\ корней.\]
\[2)\ y = 6:\]
\[x^{2} + x - 6 = 6\]
\[x^{2} + x - 12 = 0\]
\[x_{1} + x_{2} = - 1;\ \ x_{1} \cdot x_{2} = - 12\]
\[x_{1} = - 4;\ \ x_{2} = 3\]
\[Ответ:x = - 4;\ \ x = 3.\]