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Simplifying 16a4 + -256 = 0 Reorder the terms: -256 + 16a4 = 0 Solving -256 + 16a4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '256' to each side of the equation. -256 + 256 + 16a4 = 0 + 256 Combine like terms: -256 + 256 = 0 0 + 16a4 = 0 + 256 16a4 = 0 + 256 Combine like terms: 0 + 256 = 256 16a4 = 256 Divide each side by '16'. a4 = 16 Simplifying a4 = 16 Reorder the terms: -16 + a4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + a4 = 0 Factor a difference between two squares. (4 + a2)(-4 + a2) = 0 Factor a difference between two squares. (4 + a2)((2 + a)(-2 + a)) = 0Subproblem 1
Set the factor '(4 + a2)' equal to zero and attempt to solve: Simplifying 4 + a2 = 0 Solving 4 + a2 = 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 + a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a2 = 0 + -4 a2 = 0 + -4 Combine like terms: 0 + -4 = -4 a2 = -4 Simplifying a2 = -4 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 '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 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 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Subproblem 3
Set the factor '(-2 + a)' equal to zero and attempt to solve: Simplifying -2 + a = 0 Solving -2 + a = 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 + a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + a = 0 + 2 a = 0 + 2 Combine like terms: 0 + 2 = 2 a = 2 Simplifying a = 2Solution
a = {-2, 2}
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