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Simplifying 2b2 + 17b = 14b + 5b Reorder the terms: 17b + 2b2 = 14b + 5b Combine like terms: 14b + 5b = 19b 17b + 2b2 = 19b Solving 17b + 2b2 = 19b Solving for variable 'b'. Reorder the terms: 17b + -19b + 2b2 = 19b + -19b Combine like terms: 17b + -19b = -2b -2b + 2b2 = 19b + -19b Combine like terms: 19b + -19b = 0 -2b + 2b2 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-1 + 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 '(-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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