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Simplifying 6b + 2b2 + -3b + b2 = 0 Reorder the terms: 6b + -3b + 2b2 + b2 = 0 Combine like terms: 6b + -3b = 3b 3b + 2b2 + b2 = 0 Combine like terms: 2b2 + b2 = 3b2 3b + 3b2 = 0 Solving 3b + 3b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(1 + b) = 0 Ignore the factor 3.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 '(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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