Answer:
[tex]x = 1 \: \: \: \: or \: \: \: \: x = - \frac{2}{3} \\ [/tex]
Step-by-step explanation:
[tex] {3x}^{2} - x - 2 = 0 \\ {3x}^{2} - 3x + 2x - 2 = 0 \\ 3x(x - 1) + 2(x - 1) = 0 \\ (x - 1)(3x + 2) = 0 \\ x - 1 = 0 \: \: \: \: or \: \: \: \: 3x + 2 = 0 \\ x = 1 \: \: \: \: or \: \: \: \: x = - \frac{2}{3} [/tex]
