Factorize
$2 x^{2} + 4 x + 2 = 0$

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Solution

We have,

$2 x^{2} + 4 x + 2 = 0$

$\Rightarrow 2 x^{2} + (2 + 2) x + 2 = 0$

$\Rightarrow 2 x^{2} + 2 x + 2 x + 2 = 0$

$\Rightarrow 2 x (x + 1) + 2 (x + 1) = 0$

$\Rightarrow (x + 1) (2 x + 2) = 0$

$\Rightarrow (x + 1) 2 (x + 1)$

$\Rightarrow 2 {(x + 1)}^{2}$

Hence, this is the answer.

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