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Simplifying 2b2 = 96b Solving 2b2 = 96b Solving for variable 'b'. Reorder the terms: -96b + 2b2 = 96b + -96b Combine like terms: 96b + -96b = 0 -96b + 2b2 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-48 + b) = 0 Ignore the factor 2.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 '(-48 + b)' equal to zero and attempt to solve: Simplifying -48 + b = 0 Solving -48 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + b = 0 + 48 Combine like terms: -48 + 48 = 0 0 + b = 0 + 48 b = 0 + 48 Combine like terms: 0 + 48 = 48 b = 48 Simplifying b = 48Solution
b = {0, 48}
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