Solve the following equation by factorization method?
$x^{2} + 6 x = 27$

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Solution

$x^{2} + 6 x = 27$
$x^{2} + 6 x - 27 = 0$
$x^{2} + 9 x - 3 x - 27 = 0$
$x (x + 9) - 3 (x + 9) = 0$
$(x - 3) (x + 9) = 0$
$x = 3, - 9$

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