This dissertation describes a search for new physics that has been performed at the Compact Muon Solenoid experiment. The search makes use of an integrated luminosity ∫L=19.5/fb of data taken during the 2012 proton-proton collisions at center of mass energy sqrt(s)=8 TeV produced by the Large Hadron Collider near Geneva, Switzerland. The search has been performed on events with two photons, jets, and missing transverse energy. The final state for this search is motivated by the theory of gauge-mediated supersymmetry breaking but is sensitive to any new physics producing massive particles decaying via this channel. The dominant standard model backgrounds to this final state include quantum chromodynamics processes and electroweak processes involving W bosons. No excess above standard model backgrounds is observed. The results have been interpreted in the context of gauge-mediated supersymmetry in multiple model scans, resulting in 95% confidence level limits on signal production cross sections between 0.7 and 6.6 fb for a Bino-like neutralino and between 50 and 5000 fb for a Wino-like neutralino. The upper limits for the Bino-like case are the most stringent to date for gauge-mediated supersymmetry models.