Find the value of $x$ if $182 + x^{2} - 27 x = 0$

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Solution

$182 + x^{2} - 27 x = 0$
$x^{2} - 13 x - 14 x + 182 = 0$
$x (x - 13) - 14 (x - 13) = 0$
$(x - 13) (x - 14) = 0$
$x = 13 o r x = 14$

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