Answer:
x = -27 or 1
Step-by-step explanation:
Let z = x^(1/3). Then the equation becomes the quadratic ...
z^2 +2z -3 = 0
(z +3)(z -1) = 0
z = -3 or +1 . . . . values of z that make the factors be zero.
Then
x = z^3
so the two solutions are ...
x = (-3)^3 = -27
x = 1^3 = 1
