Respuesta :
Answer:
x = 0, [tex]\frac{2}{3}[/tex], and 1
Step-by-step explanation:
We have our equation 3[tex]x^{3}[/tex] - [tex]x^{2}[/tex] - 2x.
We can factor out an x like this: x(3[tex]x^{2}[/tex] - x - 2)
From here, it is easy to see that: x(3x + 2)(x - 1)
Now, we just set our equation to 0 like this: 0 = x(3x + 2)(x - 1)
So,
- x = 0
- 3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
- x - 1 = 0 ⇒ x = 1