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