FIELD: hydraulic metallurgy. SUBSTANCE: processes provide for leaching of metal-containing material such as ore slurry which includes fluoride compounds of metals by mineral acid in presence of complex-forming agent containing aluminum, silicon, titanium or their mixture and causing complex formation of ions of fluoride. Proposed processes make it feasible to extract valuable metals, fluorides and radio nuclides from loaded material with high content of minerals in which metals and radio nuclides are present in the form of practically insoluble fluorides or are trapped in matrix of metal fluorine that actually does not solve in typical systems of chemical reagents. EFFECT: increased efficiency of processes. 13 cl, 3 dwg, 3 tbl
