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Simplifying 5b5 + -1280b = 0 Reorder the terms: -1280b + 5b5 = 0 Solving -1280b + 5b5 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(-256 + b4) = 0 Factor a difference between two squares. 5b((16 + b2)(-16 + b2)) = 0 Factor a difference between two squares. 5b((16 + b2)((4 + b)(-4 + b))) = 0 Ignore the factor 5.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 '(16 + b2)' equal to zero and attempt to solve: Simplifying 16 + b2 = 0 Solving 16 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + b2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + b2 = 0 + -16 b2 = 0 + -16 Combine like terms: 0 + -16 = -16 b2 = -16 Simplifying b2 = -16 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Subproblem 4
Set the factor '(-4 + b)' equal to zero and attempt to solve: Simplifying -4 + b = 0 Solving -4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + b = 0 + 4 b = 0 + 4 Combine like terms: 0 + 4 = 4 b = 4 Simplifying b = 4Solution
b = {0, -4, 4}
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