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Simplifying 24b2 + -20b = 4b Reorder the terms: -20b + 24b2 = 4b Solving -20b + 24b2 = 4b Solving for variable 'b'. Reorder the terms: -20b + -4b + 24b2 = 4b + -4b Combine like terms: -20b + -4b = -24b -24b + 24b2 = 4b + -4b Combine like terms: 4b + -4b = 0 -24b + 24b2 = 0 Factor out the Greatest Common Factor (GCF), '24b'. 24b(-1 + b) = 0 Ignore the factor 24.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 '(-1 + b)' equal to zero and attempt to solve: Simplifying -1 + b = 0 Solving -1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + b = 0 + 1 b = 0 + 1 Combine like terms: 0 + 1 = 1 b = 1 Simplifying b = 1Solution
b = {0, 1}
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