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Simplifying b(b + 3) + -2b = 0 Reorder the terms: b(3 + b) + -2b = 0 (3 * b + b * b) + -2b = 0 (3b + b2) + -2b = 0 Reorder the terms: 3b + -2b + b2 = 0 Combine like terms: 3b + -2b = 1b 1b + b2 = 0 Solving 1b + b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(1 + b) = 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 '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Solution
b = {0, -1}
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