While your computer DVD burner will probably support +_R, -R and dual layer discs, your DVD player may be more fussy.
While most recent players will read both formats it can't be taken for granted. Some makes will only read +R and other only -R. It's gets more complicated as you can burn DVDs with Joliet, UDF and 9660 file systems. While most modern computer burners will burn them all, DVD players probably won't and will want ISO 9660 or UDF and will not support muliti-session discs and will only handle discs recorded with "disc at once" selected.
I make DVDs of training videos and compatibility with clients kit used to be a big problem. Although this is normally a thing of the past I still find clients that need a particular type. Discs are dead cheap these days so keep a stock of both.
Final comment. If you know everything is correct and the disc still won't play in a DVD Player, try burning at a slower speed.