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Simplifying (b + 7)(b + 8) = 0 Reorder the terms: (7 + b)(b + 8) = 0 Reorder the terms: (7 + b)(8 + b) = 0 Multiply (7 + b) * (8 + b) (7(8 + b) + b(8 + b)) = 0 ((8 * 7 + b * 7) + b(8 + b)) = 0 ((56 + 7b) + b(8 + b)) = 0 (56 + 7b + (8 * b + b * b)) = 0 (56 + 7b + (8b + b2)) = 0 Combine like terms: 7b + 8b = 15b (56 + 15b + b2) = 0 Solving 56 + 15b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + b)(7 + b) = 0Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Simplifying b = -8Subproblem 2
Set the factor '(7 + b)' equal to zero and attempt to solve: Simplifying 7 + b = 0 Solving 7 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + b = 0 + -7 b = 0 + -7 Combine like terms: 0 + -7 = -7 b = -7 Simplifying b = -7Solution
b = {-8, -7}
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