Using a sample of (448.1 +/- 2.9) x 10(6) psi(3686) events collected with the BESIII detector, we perform the first partial wave analysis of psi(3686) -> K+K- eta. In addition to the well established states, phi(1020), phi(1680), and K-3(*)(1780), contributions from X(1750), rho(2150), rho(3)(2250), and K-2* (1980) are also observed. The X(1750) state is determined to be a 1(--) resonance. The simultaneous observation of the phi(1680) and X(1750) indicates that the X(1750), with previous observations in photoproduction, is distinct from the phi(1680). The masses, widths, branching fractions of psi(3686) -> K+K- eta, and the intermediate resonances are also measured.
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