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Simplifying (8b + 1)(b + 8) = 0 Reorder the terms: (1 + 8b)(b + 8) = 0 Reorder the terms: (1 + 8b)(8 + b) = 0 Multiply (1 + 8b) * (8 + b) (1(8 + b) + 8b * (8 + b)) = 0 ((8 * 1 + b * 1) + 8b * (8 + b)) = 0 ((8 + 1b) + 8b * (8 + b)) = 0 (8 + 1b + (8 * 8b + b * 8b)) = 0 (8 + 1b + (64b + 8b2)) = 0 Combine like terms: 1b + 64b = 65b (8 + 65b + 8b2) = 0 Solving 8 + 65b + 8b2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + b)(1 + 8b) = 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 '(1 + 8b)' equal to zero and attempt to solve: Simplifying 1 + 8b = 0 Solving 1 + 8b = 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 + 8b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8b = 0 + -1 8b = 0 + -1 Combine like terms: 0 + -1 = -1 8b = -1 Divide each side by '8'. b = -0.125 Simplifying b = -0.125Solution
b = {-8, -0.125}
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