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1 solution
0, -1 and 8 are all real valid solutions, because the square root can take two separate values (one positive and one negative); likewise any solution for the cube root of either -1 or 8 in the complex plane is also valid. If we assume the inner square root is negative, then x = 0; if we assume outer is negative, x = cube root of -1; if we assume both square roots are positive x = cube root of 8. Complex equations are hard.