Both headlights went out simultaneously

Both low beam headlights went out at the same time one evening. The high beams still work, as well as the high beam indicator on the dash. I have checked both headlight bulbs and they appear to be good with unbroken filaments. I also checked the corresponding low beam 10a fuses in the fuse box under the hood. They (both) also appear to be good and unbroken. With those two basics ruled out, what is next to pursue for a fix? Btw, the engine is a 2.4 liter.