The current study explores the transient magnetohydrodynamic (MHD) flow with the interaction of quadratic convection, slip of second-order momentum, viscous dissipation, and Newtonian heating. In this setup, the governing equations become highly nonlinear. The numerical solutions are attained by utilizing an implicit type of the Crank-Nicolson technique. The primary aim of the exploration is to figure out the consequence of MHD nonlinear convection and momentum slip of second-order on the overall behavior of the system. The robust agreement is evinced by numerical computations verified against existing research. Skin friction and Nusselt number decreases for second-order slips, delta = 0 , - 2 , - 4 , - 8 $\delta =0,-2,-4,-8$, and -16. And for gamma = 1.0 $\gamma =1.0$ and delta = - 2.0 $\delta = \mbox{-} 2.0$ the temporal coefficients of friction and heat transmission attain a steady state at time t = 29.88. It is significant that nonlinear convection predominates over viscous dissipation and that nonlinear convection is influenced by magnetic fields. The results are described using plots and tables.