Factorise $x^{2} + 4 x - 12 = 0$

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Solution

$x^{2} + 4 x - 12$

$= x^{2} - 2 x + 6 x - 12$

$= x (x - 2) + 6 (x - 2)$

$= (x + 6) (x - 2)$

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