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Simplifying (9b + 7)(2b + 8) = 0 Reorder the terms: (7 + 9b)(2b + 8) = 0 Reorder the terms: (7 + 9b)(8 + 2b) = 0 Multiply (7 + 9b) * (8 + 2b) (7(8 + 2b) + 9b * (8 + 2b)) = 0 ((8 * 7 + 2b * 7) + 9b * (8 + 2b)) = 0 ((56 + 14b) + 9b * (8 + 2b)) = 0 (56 + 14b + (8 * 9b + 2b * 9b)) = 0 (56 + 14b + (72b + 18b2)) = 0 Combine like terms: 14b + 72b = 86b (56 + 86b + 18b2) = 0 Solving 56 + 86b + 18b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(28 + 43b + 9b2) = 0 Factor a trinomial. 2((4 + b)(7 + 9b)) = 0 Ignore the factor 2.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 '(7 + 9b)' equal to zero and attempt to solve: Simplifying 7 + 9b = 0 Solving 7 + 9b = 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 + 9b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9b = 0 + -7 9b = 0 + -7 Combine like terms: 0 + -7 = -7 9b = -7 Divide each side by '9'. b = -0.7777777778 Simplifying b = -0.7777777778Solution
b = {-4, -0.7777777778}
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