To solve this equation, we first need to distribute the x on the left side:

x * (x2 - 2) = x3 + 8

Expanding the left side, we get:

x3 - 2x = x3 + 8

Now, we can subtract x3 from both sides to simplify the equation:

-2x = 8

Now, we can solve for x by dividing both sides by -2:

x = -4

Therefore, the solution to the equation is x = -4.