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Simplifying 2b5 + -32b = 0 Reorder the terms: -32b + 2b5 = 0 Solving -32b + 2b5 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-16 + b4) = 0 Factor a difference between two squares. 2b((4 + b2)(-4 + b2)) = 0 Factor a difference between two squares. 2b((4 + b2)((2 + b)(-2 + b))) = 0 Ignore the factor 2.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 '(4 + b2)' equal to zero and attempt to solve: Simplifying 4 + b2 = 0 Solving 4 + b2 = 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 + b2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b2 = 0 + -4 b2 = 0 + -4 Combine like terms: 0 + -4 = -4 b2 = -4 Simplifying b2 = -4 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 '(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 4
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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