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\frac{19}{20}x^{2}+\frac{1}{5}x-\frac{2}{3}x+\frac{1}{2}+\frac{1}{3}
Combine \frac{1}{5}x^{2} and \frac{3}{4}x^{2} to get \frac{19}{20}x^{2}.
\frac{19}{20}x^{2}-\frac{7}{15}x+\frac{1}{2}+\frac{1}{3}
Combine \frac{1}{5}x and -\frac{2}{3}x to get -\frac{7}{15}x.
\frac{19}{20}x^{2}-\frac{7}{15}x+\frac{5}{6}
Add \frac{1}{2} and \frac{1}{3} to get \frac{5}{6}.
\frac{57x^{2}-28x+50}{60}
Factor out \frac{1}{60}. Polynomial 57x^{2}-28x+50 is not factored since it does not have any rational roots.