$$ \begin{aligned} x(x-5)+10-2x &= 0&& \text{simplify left side} \\[1 em]x^2-5x+10-2x &= 0&& \\[1 em]x^2-7x+10 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-7x+10 = 0 $ is a quadratic equation.
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