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Simplifying (9b + 6)(9b + 6) = 0 Reorder the terms: (6 + 9b)(9b + 6) = 0 Reorder the terms: (6 + 9b)(6 + 9b) = 0 Multiply (6 + 9b) * (6 + 9b) (6(6 + 9b) + 9b * (6 + 9b)) = 0 ((6 * 6 + 9b * 6) + 9b * (6 + 9b)) = 0 ((36 + 54b) + 9b * (6 + 9b)) = 0 (36 + 54b + (6 * 9b + 9b * 9b)) = 0 (36 + 54b + (54b + 81b2)) = 0 Combine like terms: 54b + 54b = 108b (36 + 108b + 81b2) = 0 Solving 36 + 108b + 81b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '9'. 9(4 + 12b + 9b2) = 0 Factor a trinomial. 9((2 + 3b)(2 + 3b)) = 0 Ignore the factor 9.Subproblem 1
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 = -0.6666666667Subproblem 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 = {-0.6666666667, -0.6666666667}
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