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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6a + (7b - 4a - 8b) = (6a - 4a) + (7b - 8b) = 2a - b
7b + 16 = 5b + 247b - 5b = 24 - 162b = 8b = 4
The equation can be rewritten as: (in Math, it is advised that the order of terms be arranged. In this equation, the term 7b comes before constant 9 which is the correct arrangement.)7b - 9 = 8b - 7To solve, transpose 8b to the left and 9 to the right so the equation becomes:7b -8b = 9 - 7-b = 2multiply both sides by -1 (to balance the equation) to make b positive:-1(-b) = -1(2)B= -2To check:7b - 9 = 8b - 77(-2) - 9 = 8(-2) - 7-14 -9 = -16 -7-23 = -23The answers in both sides of the equation is equal therefore, YOU have derived to a CORRECT answer...
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b^2 - 7b + 12 = b^2 - 4b - 3b + 12 = b(b -4) -3(b - 4) = (b - 3)(b - 4)