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\frac{1}{3}x^{2}-8x-2x^{2}-\frac{1}{2}x
To find the opposite of 2x^{2}+\frac{1}{2}x, find the opposite of each term.
-\frac{5}{3}x^{2}-8x-\frac{1}{2}x
Combine \frac{1}{3}x^{2} and -2x^{2} to get -\frac{5}{3}x^{2}.
-\frac{5}{3}x^{2}-\frac{17}{2}x
Combine -8x and -\frac{1}{2}x to get -\frac{17}{2}x.
\frac{1}{3}x^{2}-8x-2x^{2}-\frac{1}{2}x
To find the opposite of 2x^{2}+\frac{1}{2}x, find the opposite of each term.
-\frac{5}{3}x^{2}-8x-\frac{1}{2}x
Combine \frac{1}{3}x^{2} and -2x^{2} to get -\frac{5}{3}x^{2}.
-\frac{5}{3}x^{2}-\frac{17}{2}x
Combine -8x and -\frac{1}{2}x to get -\frac{17}{2}x.