I recommend that you follow the instructions of the carpet manufacturer to keep your carpet and tile in good condition and thoroughly clean your carpets at least once a week for every member of the household. That’s twice a week for a couple, for a family of five, five days a week, and pets count as family! This removes particulate matter that is destructive and because dust never rests, it falls every day before gravity ceases. Checkout Ninja Restores Carpet And Tile Cleaning Phoenix for more info.
This is valid for your tile, the dust collects in the grout lines, because if you mop a dusty floor, you create a mud channel in the grout lines, because periodically vacuum the dust out. If you have a few tiny spots on your tile or carpet, a decent healthy spotter is just soda water, added to a towel, dab, don’t scrub, wipe, don’t scrub! Hydrogen peroxide with a terry cloth towel for tile use can also brighten up the grout lines.
Use an iron with some brown paper from grocery store shopping bags to strip candle wax from the carpet, the thicker, the better, ideally without having to print on them. This can take up a few pockets. Terry towels may also be used, although they are more costly.
Take your iron and set the steam to a low environment. Put the iron in the paper bag so that it fits flat in the bottom, then squish the upper part of the bag so that through the bag you can catch the handle of the iron, carefully place the bagged iron over the spot of wax. Wait for just a few seconds to melt some of the wax and move it to the paper bag. You should pass the bagged iron around after a few more seconds to search for transfer to use as much area of the bag as possible, then you need to swap the bag to a new one.
You only use two moistened towels to use a terry towel, wrap them around the iron from the bottom, bring the four corners of the towel to the top of the iron, and keep the tips to the iron handle. With the towels you can use a heat setting higher. Several seconds to add the iron to the wax spot. This should trigger some transfer, continue to check for transfer, and shift the iron around to use as much of the towel area as possible. Repeat as appropriate, and the wax should be extracted. A wallpaper steamer, if you have one available, will also fit really well with a terry towel.