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