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Simplifying 15b2 + -25b = 5b Reorder the terms: -25b + 15b2 = 5b Solving -25b + 15b2 = 5b Solving for variable 'b'. Reorder the terms: -25b + -5b + 15b2 = 5b + -5b Combine like terms: -25b + -5b = -30b -30b + 15b2 = 5b + -5b Combine like terms: 5b + -5b = 0 -30b + 15b2 = 0 Factor out the Greatest Common Factor (GCF), '15b'. 15b(-2 + 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 '(-2 + b)' equal to zero and attempt to solve: Simplifying -2 + b = 0 Solving -2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + b = 0 + 2 b = 0 + 2 Combine like terms: 0 + 2 = 2 b = 2 Simplifying b = 2Solution
b = {0, 2}
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