Utilization of Electrical Energy past question

A motor is used to drive a hoist. Motor characteristics are given by: Quadrants I, II and IV: T = 200-0.2N, N-m; Quadrants II, III and IV: T = -200-0.2N, N-m. Where N is the speed in rpm. When hoist is loaded, the net load torque T1 = 100, N-m and when it is unloaded, net load torque T1 = -80, N-m. Obtain the equilibrium speeds for operation in all the four quadrants.