solve

to find the answer to a question or a way to fix a problem

to find out the perpetrator, the motive etc (of crime)

To find the values of variables that satisfy a system of equations and/or inequalities.

To algebraically manipulate an equation or inequality into a form that isolates a chosen variable on one side, so that the other side consists of an expression that may be used to generate solutions.

To loosen or separate the parts of.

(no longer used) To dissolve

(no longer used) A solution; an explanation.