$$ \begin{aligned} 0 &= 20x^2+40x-1950&& \text{move all terms to the left hand side } \\[1 em]0-20x^2-40x+1950 &= 0&& \text{simplify left side} \\[1 em]-20x^2-40x+1950 &= 0&& \\[1 em] \end{aligned} $$
$ -20x^{2}-40x+1950 = 0 $ is a quadratic equation.
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