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Simplifying 5b2 + -20b = b2 Reorder the terms: -20b + 5b2 = b2 Solving -20b + 5b2 = b2 Solving for variable 'b'. Combine like terms: 5b2 + -1b2 = 4b2 -20b + 4b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -20b + 4b2 = 0 Factor out the Greatest Common Factor (GCF), '4b'. 4b(-5 + b) = 0 Ignore the factor 4.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 '(-5 + b)' equal to zero and attempt to solve: Simplifying -5 + b = 0 Solving -5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + b = 0 + 5 b = 0 + 5 Combine like terms: 0 + 5 = 5 b = 5 Simplifying b = 5Solution
b = {0, 5}
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