Bleach Detergent Can I Use Bleach And Detergent At The Same Time?

Can I use Bleach and Detergent at the same time? - bleach detergent

I used to use bleach and detergent, while the other days, but someone told me that I do not, as they should cancel each other out. Is that true? I know there are chemical reactions between acids and bases, would make sense, I find nothing on Google that mentions it. And, of course, stupid me not loaded there. lol
Of course, I thank you all for the answers in advance!