Estimation of $\sum_{n\leq x}|\mu (n)|* \mu$

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Let $\mu$ be te Moebius function.
The question is: Use the Riemann hypotesis to prove that $\sum_{n\leq x}|\mu (n)|* \mu<<_{\epsilon}x^{\frac{1}{4}+\epsilon}$
I know that the drichelet series of $|\mu|$ is $\frac{\zeta(s)}{\zeta (2s)}$ but i don't know how to use this. I can't find information about $\frac{1}{\zeta (2s)}$.
Any suggestion please?