Answer
$5(x+12)(x-13)$
Work Step by Step
Taking a common monomial factor, we get
$$5x^2-5x-780=5(x^2- x-156).$$
Since $12$ and $-13$ are factors that satisfy $12-13=-1$ and $12(-13)=-156$, we have
$$
5(x^2- x-156)=5(x+12)(x-13)
.$$
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