Х³-64х=0

To solve this equation, we can factor out the common factor of x:

x(x² - 64) = 0

Now, we have two factors: x and (x² - 64).

The first factor, x = 0, is straightforward.

For the second factor, we can rewrite it as the difference of squares:

x² - 64 = (x - 8)(x + 8)

So, the second factor becomes (x - 8)(x + 8).

Now, we have three solutions: x = 0, x = 8, and x = -8.