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Simplifying ab4 + -16a = 0 Reorder the terms: -16a + ab4 = 0 Solving -16a + ab4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'a'. a(-16 + b4) = 0 Factor a difference between two squares. a((4 + b2)(-4 + b2)) = 0 Factor a difference between two squares. a((4 + b2)((2 + b)(-2 + b))) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 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 a 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 Add '-1b2' to each side of the equation. b2 + -1b2 = -4 + -1b2 Combine like terms: b2 + -1b2 = 0 0 = -4 + -1b2 Simplifying 0 = -4 + -1b2 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 a 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 Add '-1b' to each side of the equation. b + -1b = -2 + -1b Combine like terms: b + -1b = 0 0 = -2 + -1b Simplifying 0 = -2 + -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 a 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 Add '-1b' to each side of the equation. b + -1b = 2 + -1b Combine like terms: b + -1b = 0 0 = 2 + -1b Simplifying 0 = 2 + -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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