'carelessly-resolved' is a compound adjective formed from 'carelessly' and 'resolved'. 'Carelessly' originates from the Old English 'carleas', where 'caru' meant 'care' and 'leas' meant 'without'. 'Resolved' comes from the Latin 'resolvere', where 're-' meant 'again' and 'solvere' meant 'to loosen'.

'carelessly' evolved from the Old English 'carleas', and 'resolved' from the Latin 'resolvere', eventually forming the modern English compound adjective 'carelessly-resolved'.

Initially, 'carelessly' meant 'without care', and 'resolved' meant 'to loosen or solve'. Together, they describe a resolution made without proper care.