Let's simplify the equation first:
x^6 - 23x^4 + 165x^2 + 464 = 0
Let's substitute u = x^2:
u^3 - 23u^2 + 165u + 464 = 0
Now, let's factor this cubic equation or use other methods to find the roots.
to find the zeros, set the function equal to zero and solve for x:
x^6 - 23x^4 + 165x^2 + 464 = 0
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