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Simplifying 4b2 + -100b = 0 Reorder the terms: -100b + 4b2 = 0 Solving -100b + 4b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(-25 + 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 '(-25 + b)' equal to zero and attempt to solve: Simplifying -25 + b = 0 Solving -25 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + b = 0 + 25 Combine like terms: -25 + 25 = 0 0 + b = 0 + 25 b = 0 + 25 Combine like terms: 0 + 25 = 25 b = 25 Simplifying b = 25Solution
b = {0, 25}
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