$$2x+3 = x^2+3x+2$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 1 }{ 2 }-\dfrac{\sqrt{ 5 }}{ 2 } & x_2 = -\dfrac{ 1 }{ 2 }+\dfrac{\sqrt{ 5 }}{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2x+3 &= x^2+3x+2&& \text{move all terms to the left hand side } \\[1 em]2x+3-x^2-3x-2 &= 0&& \text{simplify left side} \\[1 em]-x^2-x+1 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}-x+1 = 0 $ is a quadratic equation.
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