To do two things at once is to do neither.
Notes from Wikiquote
Duos qui sequitur lepores neutrum capit | He who follows two hares catches neither. | A Dictionary of Quotations in most frequent Use, David Evans Macdonnel, 1797, quoted in The Monthly Review, 1798, p. 467 | Apparently of medieval or modern origin, not found in antiquity.
Variants
of