Question
$$(2x-1)(x+5) = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 2 } & x_2 = -5 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (2x-1)(x+5) &= 0&& \text{simplify left side} \\[1 em]2x^2+10x-x-5 &= 0&& \\[1 em]2x^2+9x-5 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+9x-5 = 0 $ is a quadratic equation.
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