make a dent vs solve

make a dent

verb
  • Used other than figuratively or idiomatically: see make, a, dent. 

  • To make an impression; to have an effect on; to chip away at. 

solve

verb
  • To loosen or separate the parts of. 

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

  • 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 find an answer or solution to a problem or question; to work out. 

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

How often have the words make a dent and solve occurred in a corpus of books? (source: Google Ngram Viewer )