Решите уравнение: 3x^3-6x^2-75x+150=0.

\[3x³ - 6x^{2} - 75x + 150 = 0\]

\[3x^{2}(x - 2) - 75 \cdot (x - 2) = 0\]

\[\left( 3x^{2} - 75 \right)(x - 2) = 0\]

\[3 \cdot \left( x^{2} - 25 \right)(x - 2) = 0\]

\[3 \cdot (x - 5)(x + 5)(x - 2) = 0\]

\[x = 5,\ \ x = - 5,\ \ x = 2\]

\[Ответ:x = 2;\ x = \pm 5.\]