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Simplifying 4a4 + -1024 = 0 Reorder the terms: -1024 + 4a4 = 0 Solving -1024 + 4a4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1024' to each side of the equation. -1024 + 1024 + 4a4 = 0 + 1024 Combine like terms: -1024 + 1024 = 0 0 + 4a4 = 0 + 1024 4a4 = 0 + 1024 Combine like terms: 0 + 1024 = 1024 4a4 = 1024 Divide each side by '4'. a4 = 256 Simplifying a4 = 256 Reorder the terms: -256 + a4 = 256 + -256 Combine like terms: 256 + -256 = 0 -256 + a4 = 0 Factor a difference between two squares. (16 + a2)(-16 + a2) = 0 Factor a difference between two squares. (16 + a2)((4 + a)(-4 + a)) = 0Subproblem 1
Set the factor '(16 + a2)' equal to zero and attempt to solve: Simplifying 16 + a2 = 0 Solving 16 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + a2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + a2 = 0 + -16 a2 = 0 + -16 Combine like terms: 0 + -16 = -16 a2 = -16 Simplifying a2 = -16 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 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 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Subproblem 3
Set the factor '(-4 + a)' equal to zero and attempt to solve: Simplifying -4 + a = 0 Solving -4 + a = 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 + a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a = 0 + 4 a = 0 + 4 Combine like terms: 0 + 4 = 4 a = 4 Simplifying a = 4Solution
a = {-4, 4}
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