'vaguely-solved' originates from the combination of 'vague' and 'solve', where 'vague' comes from Latin 'vagus' meaning 'wandering' and 'solve' from Latin 'solvere' meaning 'to loosen or untie'.

'vague' changed from the Latin word 'vagus' and 'solve' from 'solvere', eventually forming the modern English term 'vaguely-solved'.

Initially, 'vague' meant 'wandering or uncertain', and 'solve' meant 'to untie or loosen', evolving into the current meaning of 'addressed in an unclear manner'.