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Simplifying 3b(2b + 4) = 0 Reorder the terms: 3b(4 + 2b) = 0 (4 * 3b + 2b * 3b) = 0 (12b + 6b2) = 0 Solving 12b + 6b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6b'. 6b(2 + b) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 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 = {0, -2}
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