$$\frac{12x^2+29x+17}{3x+2} = 0$$
Answer
$$ \begin{matrix}x_1 = -1 & x_2 = -\dfrac{ 17 }{ 12 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{12x^2+29x+17}{3x+2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 3x+2 }. \\[1 em](3x+2)\frac{12x^2+29x+17}{3x+2} &= (3x+2)\cdot0&& \text{cancel out the denominators} \\[1 em]12x^2+29x+17 &= 0&& \\[1 em] \end{aligned} $$
$ 12x^{2}+29x+17 = 0 $ is a quadratic equation.
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