By the sounds of it it's a mineral salt fertilizer, so yes it will harm the beneficial microbes in the soil. Organic nutrients need the bacteria and fungi in the soil to break them down to release plant-available nutrients that can be easily absorbed and if you use mineral salt fertilizers to hijack this process and mainline nutrients then you will disrupt the process involved in the breakdown of organic nutrients.
I would get an organic fertilizer with NPK values balanced for cannabis growing. Something like Biobizz fishmix is perfect and will make the beneficial microorganisms go crazy with life as well as giving great tasting buds. You won't necessarily yield any more with non-organic fertilizers and in my opinion it goes against the whole ethos of growing organically. For me I prefer to stick to either organic or hydro, not a mixture of the two but that's just my opinion and you may feel differently.
Thanks for the input man. Yeah I know that organic is the way to go, but I didn't when I bought the nutes lol. I think I'll just put them on craigslist or something for cheap.
And if I was gonna go with an organic fertilizer, I'd probably use seabird guano or something similar. I can buy that shit for like 2.50 a pound :D