х * (х^2 + 2 * х + 1) = 2 * (х + 1);

x * (x + 1)^2 = 2 * (x + 1);

x * (x + 1) * (x + 1) = 2 * (x + 1);

(x^2 + x) * (x + 1) - 2 * (x + 1) = 0;

(x + 1) * (x^2 + x - 2) = 0;

1) x + 1 = 0;

x = -1;

2) x^2 + x - 2 = 0;

D = 1 - 4 * 1 * (-2) = 9;

x1 = (-1 + 3)/2 = 2/2 = 1;

x2 = (-1 - 3)/2 = -4/2 = -2;

Ответ: х = -1, х = 1 и х = -2.