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Simplifying 3b(2b + -1) + 2b(b + 3) = 0 Reorder the terms: 3b(-1 + 2b) + 2b(b + 3) = 0 (-1 * 3b + 2b * 3b) + 2b(b + 3) = 0 (-3b + 6b2) + 2b(b + 3) = 0 Reorder the terms: -3b + 6b2 + 2b(3 + b) = 0 -3b + 6b2 + (3 * 2b + b * 2b) = 0 -3b + 6b2 + (6b + 2b2) = 0 Reorder the terms: -3b + 6b + 6b2 + 2b2 = 0 Combine like terms: -3b + 6b = 3b 3b + 6b2 + 2b2 = 0 Combine like terms: 6b2 + 2b2 = 8b2 3b + 8b2 = 0 Solving 3b + 8b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(3 + 8b) = 0Subproblem 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 '(3 + 8b)' equal to zero and attempt to solve: Simplifying 3 + 8b = 0 Solving 3 + 8b = 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 + 8b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8b = 0 + -3 8b = 0 + -3 Combine like terms: 0 + -3 = -3 8b = -3 Divide each side by '8'. b = -0.375 Simplifying b = -0.375Solution
b = {0, -0.375}
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