$$ \begin{aligned} 4 &= (x+3)^2&& \text{simplify right side} \\[1 em]4 &= x^2+6x+9&& \text{move all terms to the left hand side } \\[1 em]4-x^2-6x-9 &= 0&& \text{simplify left side} \\[1 em]-x^2-6x-5 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}-6x-5 = 0 $ is a quadratic equation.
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