Solve the equation. \[ x^{3}-2 x^{2}=15 x \] The solution set is $\{\square\}$ (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

Step 1 ：Rearrange the given equation to one side to get a standard form of cubic equation: \(x^{3}-2 x^{2}-15 x = 0\).

Step 2 ：Factorize the equation to find the roots.

Step 3 ：The solutions are -3, 0, and 5.

Step 4 ：Final Answer: The solution set is \(\boxed{-3, 0, 5}\).