'vaguely-resolved' originates from the combination of 'vague' and 'resolve'. 'Vague' comes from Latin 'vagus', meaning 'wandering', and 'resolve' comes from Latin 'resolvere', meaning 'to loosen'.

'vague' changed from the Old French word 'vague' and 'resolve' from the Latin 'resolvere', eventually forming the modern English term 'vaguely-resolved'.

Initially, 'vague' meant 'wandering' and 'resolve' meant 'to loosen', but over time, 'vaguely-resolved' evolved to mean 'not clearly resolved'.