Solve the following equation:
$2 x^{2} + 13 x + 15 = 0$

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Solution

$\begin{matrix} 2 x^{2} + 13 x + 15 = 0 \Rightarrow 2 x^{2} + 10 x + 3 x + 15 = 0 \Rightarrow 2 x (x + 5) + 3 (x + 5) = 0 \Rightarrow (2 x + 3) (x + 5) = 0 E i t h e r 2 x + 3 = 0 x = - \frac{3}{2} o r x = 5 + 0 x = - 5 \end{matrix}$

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