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