Factorize : $2 y^{2} + 9 y + 10 = 0$

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Solution

$2 y^{2} + 9 y + 10 = 0 \Rightarrow 2 y^{2} + 4 y + 5 y + 10 = 0 \Rightarrow 2 y (y + 2) + 5 (y + 2) = 0 \Rightarrow (y + 2) (2 y + 5) = 0$
$y = - 2$ or $y = \frac{- 5}{2}$

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