4. Find the product of all roots of the equation $z^{3}+|z|^{2}=10 i$.

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4. From $z^{3}=-|z|^{2}+10 i$ we get $z^{3}=-|z|^{2}-10 i$, then $|z|^{6}=|z|^{4}+100$, which means $|z|^{2}=$ 5 , so the original equation becomes $z^{3}+5-10 i=0$, thus the product of all roots is $-5+10 i$.