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Simplifying x4 = 4096 Solving x4 = 4096 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 4096 Reorder the terms: -4096 + x4 = 4096 + -4096 Combine like terms: 4096 + -4096 = 0 -4096 + x4 = 0 Factor a difference between two squares. (64 + x2)(-64 + x2) = 0 Factor a difference between two squares. (64 + x2)((8 + x)(-8 + x)) = 0Subproblem 1
Set the factor '(64 + x2)' equal to zero and attempt to solve: Simplifying 64 + x2 = 0 Solving 64 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + x2 = 0 + -64 x2 = 0 + -64 Combine like terms: 0 + -64 = -64 x2 = -64 Simplifying x2 = -64 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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 3
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Solution
x = {-8, 8}
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