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Simplifying (3b + 2)(8b + 8) = 0 Reorder the terms: (2 + 3b)(8b + 8) = 0 Reorder the terms: (2 + 3b)(8 + 8b) = 0 Multiply (2 + 3b) * (8 + 8b) (2(8 + 8b) + 3b * (8 + 8b)) = 0 ((8 * 2 + 8b * 2) + 3b * (8 + 8b)) = 0 ((16 + 16b) + 3b * (8 + 8b)) = 0 (16 + 16b + (8 * 3b + 8b * 3b)) = 0 (16 + 16b + (24b + 24b2)) = 0 Combine like terms: 16b + 24b = 40b (16 + 40b + 24b2) = 0 Solving 16 + 40b + 24b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '8'. 8(2 + 5b + 3b2) = 0 Factor a trinomial. 8((1 + b)(2 + 3b)) = 0 Ignore the factor 8.Subproblem 1
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 = -1Subproblem 2
Set the factor '(2 + 3b)' equal to zero and attempt to solve: Simplifying 2 + 3b = 0 Solving 2 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3b = 0 + -2 3b = 0 + -2 Combine like terms: 0 + -2 = -2 3b = -2 Divide each side by '3'. b = -0.6666666667 Simplifying b = -0.6666666667Solution
b = {-1, -0.6666666667}
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