To find the output voltage (V(out)) of the operational amplifier powered by ±20V DC, the discussion emphasizes using the given resistances and battery values. The known voltages V1 and V3 can be easily identified, leaving V0, V2, and the output currents i1 and i2 as unknowns. Participants suggest writing equations that sum the currents to zero at each node (V0 through V3), resulting in four equations for the four unknowns. Utilizing math software to solve these equations is recommended for efficiency. The approach focuses on systematic analysis to determine the output voltage accurately.