how do you solve 2x-(384/x^2)=0

Question

I am having a had time solving for x

Answer 1

Multiply through by x² to get rid of the fraction: 2x³-384=0.

Now divide through by 2:

x³-192=0, x³=192=64×3=4³×3, so x=∛(4³×3)=4∛3=4×1.44225=5.769 approx.

There are two more solutions, but these are complex numbers (contain imaginary numbers).