$$ \begin{aligned} 6x+55 &= x^2&& \text{move all terms to the left hand side } \\[1 em]6x+55-x^2 &= 0&& \text{simplify left side} \\[1 em]-x^2+6x+55 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}+6x+55 = 0 $ is a quadratic equation.
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