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Simplifying 256 = x4 Solving 256 = x4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x4' to each side of the equation. 256 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 256 + -1x4 = 0 Add '-256' to each side of the equation. 256 + -256 + -1x4 = 0 + -256 Combine like terms: 256 + -256 = 0 0 + -1x4 = 0 + -256 -1x4 = 0 + -256 Combine like terms: 0 + -256 = -256 -1x4 = -256 Divide each side by '-1'. x4 = 256 Simplifying x4 = 256 Reorder the terms: -256 + x4 = 256 + -256 Combine like terms: 256 + -256 = 0 -256 + x4 = 0 Factor a difference between two squares. (16 + x2)(-16 + x2) = 0 Factor a difference between two squares. (16 + x2)((4 + x)(-4 + x)) = 0Subproblem 1
Set the factor '(16 + x2)' equal to zero and attempt to solve: Simplifying 16 + x2 = 0 Solving 16 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x2 = 0 + -16 x2 = 0 + -16 Combine like terms: 0 + -16 = -16 x2 = -16 Simplifying x2 = -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 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 3
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {-4, 4}
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