The presence of motile bacteria within hybrid nanofluids induces the phenomenon of bioconvection. The hybrid nanofluid was subjected to the presence and distribution analysis of Bacillus cereus, Bacillus brevis, Salmonella typhimurium, and Pseudomonas fluorescens. This study explains the theoretical analysis of a hybrid fluid with nanoparticles and gyrotactic microorganisms subjected to induced magnetic field in three dimensions. Using the group technique, the governing system of equations has been simplified to a set of ordinary differential equations (ODEs). The present study was motivated by an investigation into the effects of several parameters. The Prandtl number Pr, magnetic parameter M, inclination angle γ, shape factor n, permeability coefficient kp, diffusion coefficient of microorganism Dn, Brownian motion coefficient DB, thermophoresis diffusion coefficient DT, and concentration difference δc are examples of such parameters. For different flow regulating parameters, the modification of physical quantities, such as temperature, velocity, nanoparticle characteristics, and the density of motile microorganisms, is observed with precise physical features.