Answer
13 and -14
Work Step by Step
$x^2+x=182$
$x^2+x-182=0$
$x^2+14x-13x-182=0$
$x(x+14)-13(x+14)=0$
$(x-13)(x+14)=0$
$x-13=0$
$x=13$
$x+14=0$
$x=-14$
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