Hello from MrBillDoesMath!
Answer:
x = -1/27
Discussion:
3 x^(1/3) -1 +2 = 0 =>
3 x^(1/3) +1 = 0 => (as -1 + 2 = 1).
3 x^(1/3) + 1 - 1 = 0 - 1 => Add -1 to both sides
3 x^(1/3) = -1 => (divide both sides by 3)
(3/3) x^(1/3) = -1/3 =>
x^(1/3) = -1/3 =>
x = (-1/3) ^3 =>
x = -1/27
Thank you,
MrB