Х³-64х=0

To solve the equation х³ - 64х = 0, we can factor out х from both terms:

х(х² - 64) = 0

Now, we have two factors: х and х² - 64.

The first factor, х = 0, is a simple solution.

To find the solutions for the second factor, we can use the difference of squares formula:

(х - 8)(х + 8) = 0

Setting each factor equal to zero, we have:

х - 8 = 0 --> х = 8 х + 8 = 0 --> х = -8

Therefore, the solutions to the equation х³ - 64х = 0 are х = 0, х = 8, and х = -8.