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Simplifying 3b2 = 21b Solving 3b2 = 21b Solving for variable 'b'. Reorder the terms: -21b + 3b2 = 21b + -21b Combine like terms: 21b + -21b = 0 -21b + 3b2 = 0 Factor out the Greatest Common Factor (GCF), '3b'. 3b(-7 + 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 '(-7 + b)' equal to zero and attempt to solve: Simplifying -7 + b = 0 Solving -7 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + b = 0 + 7 b = 0 + 7 Combine like terms: 0 + 7 = 7 b = 7 Simplifying b = 7Solution
b = {0, 7}
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