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Simplifying 10b3 = 250b Solving 10b3 = 250b Solving for variable 'b'. Reorder the terms: -250b + 10b3 = 250b + -250b Combine like terms: 250b + -250b = 0 -250b + 10b3 = 0 Factor out the Greatest Common Factor (GCF), '10b'. 10b(-25 + b2) = 0 Factor a difference between two squares. 10b((5 + b)(-5 + b)) = 0 Ignore the factor 10.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 '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Subproblem 3
Set the factor '(-5 + b)' equal to zero and attempt to solve: Simplifying -5 + b = 0 Solving -5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + b = 0 + 5 b = 0 + 5 Combine like terms: 0 + 5 = 5 b = 5 Simplifying b = 5Solution
b = {0, -5, 5}
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