\[(x - 1)\left( x^{2} - 1 \right) = 0\]
\[(x - 1)(x - 1)(x + 1) = 0\]
\[(x - 1)^{2}(x + 1) = 0\]
\[x = 1,\ \ x = - 1.\]
\[x = \left\{ - 1;1 \right\}.\]