The fully relaxed magnetohydrodynamic (MHD) equilibrium is obtained by imposing nonideal MHD perturbations constrained by the total plasma current. The minimum energy state governed by &Dgr;*&psgr;+CF exp(&psgr;/&lgr;)+CpR2 exp(5&psgr;/4&lgr;) =0 reveals properties of profile consistency, bifurcated solutions, and a loss of equilibrium condition. It predicts the transport coefficient peaked at the plasma edge and a unique current profile for givenq0andql.