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Simplifying 3b2 + 12b + 12 = 0 Reorder the terms: 12 + 12b + 3b2 = 0 Solving 12 + 12b + 3b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 4b + b2) = 0 Factor a trinomial. 3((2 + b)(2 + b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 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 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 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 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Solution
b = {-2, -2}
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