Factorize by middle term splitting-
p²+3p
– 88
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p^2+3p-88
=p^2+11p-8p-88
=p(p+11) -8(p+11)
=(p+11) (p-8)
hence, p+11=0 and p-8=0
therefore, p=-11 and p=8
so, solution is p=-11 and p=8
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