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Simplifying 10b3 = 40b Solving 10b3 = 40b Solving for variable 'b'. Reorder the terms: -40b + 10b3 = 40b + -40b Combine like terms: 40b + -40b = 0 -40b + 10b3 = 0 Factor out the Greatest Common Factor (GCF), '10b'. 10b(-4 + b2) = 0 Factor a difference between two squares. 10b((2 + b)(-2 + 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 '(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 = -2Subproblem 3
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, 2}
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