'methodically-resolved' originates from the combination of 'methodically' and 'resolved'. 'Methodically' comes from 'method', which originates from Greek 'methodos', meaning 'pursuit of knowledge'. 'Resolved' comes from Latin 'resolvere', meaning 'to loosen or release'.

'Methodically' evolved from the Greek 'methodos' through Latin 'methodus' and Old French 'methode', while 'resolved' evolved from Latin 'resolvere' through Old French 'resolver'.

Initially, 'methodically' meant 'in a systematic way', and 'resolved' meant 'to find a solution'. Together, they convey the idea of solving something systematically.