\(\frac{1}{2}-x\left(x-1\right)=-x^2\)
\(\Leftrightarrow\frac{1}{2}-x^2+x=-x^2\)
\(\Leftrightarrow-x^2+x+x^2=-\frac{1}{2}\)
\(\Leftrightarrow x=-\frac{1}{2}\)
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