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Simplifying 6b2 + -6b = 3b2 Reorder the terms: -6b + 6b2 = 3b2 Solving -6b + 6b2 = 3b2 Solving for variable 'b'. Combine like terms: 6b2 + -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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