Easiest way to factorise by middle term split of equation.
$2 x^{2} - 14 x - 120 = 0$ .

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Solution

$2 x^{2} - 14 x - 120 = 0$

$x^{2} - 7 x - 60 = 0$

$x^{2} - 12 x + 5 x - 60 = 0$

$x (x - 12) + 5 (x - 12) = 0$

$(x - 12) (x + 5) = 0$

$x = - 5, 12$

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