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Simplifying 15b2 + -10b = 5b Reorder the terms: -10b + 15b2 = 5b Solving -10b + 15b2 = 5b Solving for variable 'b'. Reorder the terms: -10b + -5b + 15b2 = 5b + -5b Combine like terms: -10b + -5b = -15b -15b + 15b2 = 5b + -5b Combine like terms: 5b + -5b = 0 -15b + 15b2 = 0 Factor out the Greatest Common Factor (GCF), '15b'. 15b(-1 + b) = 0 Ignore the factor 15.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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