Step 1 :Define the function \(g(x) = -2x(x^2 - 9)(x^2 + 36)\)
Step 2 :Solve the equation \(g(x) = 0\) to find the zeros of the function
Step 3 :The solutions are \(x = -3, 0, 3, -6i, 6i\)
Step 4 :Filter out the real solutions, which are \(x = -3, 0, 3\)
Step 5 :Final Answer: The real zeros of the function are \(\boxed{-3, 0, 3}\)