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Assuming your equation = 0, then:

b3+8b2+7b = 0

factor out b:

b(b2+8b+7) = 0

factor the squared term:

b(b+7)(b+1) = 0

So the answers are:

b = 0

b+7 = 0, b=-7

b+1 = 0, b=-1

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