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