Unaccountable vs Insoluble - What's the difference?

As adjectives the difference between unaccountable and insoluble

is that unaccountable is inexplicable; unable to account for, or explain while insoluble is that cannot be dissolved.

(en adjective)

inexplicable; unable to account for, or explain

not responsible; free from accountability or control

(Inexplicable) * Dutch: (trans-bottom) (Not responsible) * Dutch: (trans-bottom)

(en adjective)

That cannot be dissolved.

That cannot be solved; unsolvable; insolvable.

That cannot be explained; mysterious or inexplicable.

That cannot be broken down; dispersed

* (not soluble) (l) * (not solvable) (l) * (not explainable) (l)