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Simplifying (2b + 3)(2b + 3) = 0 Reorder the terms: (3 + 2b)(2b + 3) = 0 Reorder the terms: (3 + 2b)(3 + 2b) = 0 Multiply (3 + 2b) * (3 + 2b) (3(3 + 2b) + 2b * (3 + 2b)) = 0 ((3 * 3 + 2b * 3) + 2b * (3 + 2b)) = 0 ((9 + 6b) + 2b * (3 + 2b)) = 0 (9 + 6b + (3 * 2b + 2b * 2b)) = 0 (9 + 6b + (6b + 4b2)) = 0 Combine like terms: 6b + 6b = 12b (9 + 12b + 4b2) = 0 Solving 9 + 12b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (3 + 2b)(3 + 2b) = 0Subproblem 1
Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5Subproblem 2
Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5Solution
b = {-1.5, -1.5}
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