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Solve the given equation over the interval [0, 2π): cot^2 x − cot x.

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\(45^o, 90^o, 225^o, 270^o\)
\(\frac{ \pi }{4} , \frac{ \pi }{2} , \frac{5 \pi }{4} , \frac{3 \pi }{2}\)