Mathematical definiton: To solve an equation for a variable is to find the values of that variable for which the equation is true. For example:
x + 2 = 5
This equation has only one solution, which is
x = 3

Abbreviated "solv." This Latin term, which is frequently used in medicine and pharmacy, means "dissolve".

From the BioTech Dictionary at http://biotech.icmb.utexas.edu/. For further information see the BioTech homenode.

Solve (?), v. t. [imp. & p. p. Solved (?); p. pr. & vb. n. Solving.] [L. solvere, solutum; from a prefix so- expressing separation (cf. Sober) + luere to loosen; cf. OF. soldre, soudre. See Loose, and cf. Absolve.]

To explain; to resolve; to unfold; to clear up out to a result or conclusion; as, to solve a doubt; to solve difficulties; to solve a problem.

True piety would effectually solve such scruples. South.

God shall solve the dark decrees of fate. Tickell.

Syn. -- To explain; resolve; unfold; clear up.

Solve, n.

A solution; an explanation.

[Obs.]

Shak.