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Simplifying (2b + 8)(7b + 7) = 0 Reorder the terms: (8 + 2b)(7b + 7) = 0 Reorder the terms: (8 + 2b)(7 + 7b) = 0 Multiply (8 + 2b) * (7 + 7b) (8(7 + 7b) + 2b * (7 + 7b)) = 0 ((7 * 8 + 7b * 8) + 2b * (7 + 7b)) = 0 ((56 + 56b) + 2b * (7 + 7b)) = 0 (56 + 56b + (7 * 2b + 7b * 2b)) = 0 (56 + 56b + (14b + 14b2)) = 0 Combine like terms: 56b + 14b = 70b (56 + 70b + 14b2) = 0 Solving 56 + 70b + 14b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '14'. 14(4 + 5b + b2) = 0 Factor a trinomial. 14((4 + b)(1 + b)) = 0 Ignore the factor 14.Subproblem 1
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Solution
b = {-4, -1}
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