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.)

Answer

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Answer

Final Answer: The solution set is $\boxed{-3, 0, 5}$.

Steps

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 $\boxed{-3, 0, 5}$.