Question
$$(2n+3)(2n+1) = 0$$
Answer
$$ \begin{matrix}n_1 = -\dfrac{ 1 }{ 2 } & n_2 = -\dfrac{ 3 }{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (2n+3)(2n+1) &= 0&& \text{simplify left side} \\[1 em]4n^2+2n+6n+3 &= 0&& \\[1 em]4n^2+8n+3 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}+8x+3 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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