Question
$$2x+1 = 4x^2+8x-5$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 3 }{ 4 }-\dfrac{\sqrt{ 33 }}{ 4 } & x_2 = -\dfrac{ 3 }{ 4 }+\dfrac{\sqrt{ 33 }}{ 4 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2x+1 &= 4x^2+8x-5&& \text{move all terms to the left hand side } \\[1 em]2x+1-4x^2-8x+5 &= 0&& \text{simplify left side} \\[1 em]-4x^2-6x+6 &= 0&& \\[1 em] \end{aligned} $$
$ -4x^{2}-6x+6 = 0 $ is a quadratic equation.
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