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