The aim of this work is to provide a phenomenological analysis of the contribution of D0 meson to f0(980)π+π−(f0(980)→π+π−), K+K−ˉK∗(982)0(ˉK∗(982)0→π+K−) and ϕ(π+π−)S-wave(ϕ→K+K−) quasi-three-body decays. Such that the analysis of mentioned four-body decays is summarized into three-body decay and several channels are observed. Based on the factorization approach, hadronic three-body decays receive both resonant and nonresonant contributions. We compute both contributions of three-body decays. As, there are tree, penguin, emission, and emission annihilation diagrams for these decay modes. Our theoretical model for D0→ϕ(ππ)S-wave decay is based on the QCD factorization to quasi-two body followed by S-wave. This model for this decay following experimental information which demonstrated two pion interaction in the S-wave is introduced by the scalar resonance. The theoretical values are (1.82±0.24)×10−4, (4.46±0.41)×10−5 and (1.1±0.18)×10−4, while the experimental results of them are (1.8±0.5)×10−4, (4.4±1.7)×10−5 and (2.5±0.33)×10−4, respectively. Comparing computation analysis values with experimental values show that our results are in agreement with them.