To work out Meaning, Definition & Usage

Definitions
  1. . (a) To effect by labor and exertion. "Work out your own salvation with fear and trembling." Phil. ii. 12. (b) To erase; to efface. R.
    Tears of joy for your returning spilt, Work out and expiate our former guilt. Dryden.
    (c) To solve, as a problem. (d) To exhaust, as a mine, by working.

Webster 1913