x^64=4294967296

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Solution for x^64=4294967296 equation:


Simplifying
x64 = 4294967296

Solving
x64 = 4294967296

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Simplifying
x64 = 4294967296

Reorder the terms:
-4294967296 + x64 = 4294967296 + -4294967296

Combine like terms: 4294967296 + -4294967296 = 0
-4294967296 + x64 = 0

Factor a difference between two squares.
(65536 + x32)(-65536 + x32) = 0

Factor a difference between two squares.
(65536 + x32)((256 + x16)(-256 + x16)) = 0

Factor a difference between two squares.
(65536 + x32)((256 + x16)((16 + x8)(-16 + x8))) = 0

Factor a difference between two squares.
(65536 + x32)((256 + x16)((16 + x8)((4 + x4)(-4 + x4)))) = 0

Factor a difference between two squares.
(65536 + x32)((256 + x16)((16 + x8)((4 + x4)((2 + x2)(-2 + x2))))) = 0

Subproblem 1

Set the factor '(65536 + x32)' equal to zero and attempt to solve: Simplifying 65536 + x32 = 0 Solving 65536 + x32 = 0 Move all terms containing x to the left, all other terms to the right. Add '-65536' to each side of the equation. 65536 + -65536 + x32 = 0 + -65536 Combine like terms: 65536 + -65536 = 0 0 + x32 = 0 + -65536 x32 = 0 + -65536 Combine like terms: 0 + -65536 = -65536 x32 = -65536 Simplifying x32 = -65536 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 '(256 + x16)' equal to zero and attempt to solve: Simplifying 256 + x16 = 0 Solving 256 + x16 = 0 Move all terms containing x to the left, all other terms to the right. Add '-256' to each side of the equation. 256 + -256 + x16 = 0 + -256 Combine like terms: 256 + -256 = 0 0 + x16 = 0 + -256 x16 = 0 + -256 Combine like terms: 0 + -256 = -256 x16 = -256 Simplifying x16 = -256 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 '(16 + x8)' equal to zero and attempt to solve: Simplifying 16 + x8 = 0 Solving 16 + x8 = 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 + x8 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x8 = 0 + -16 x8 = 0 + -16 Combine like terms: 0 + -16 = -16 x8 = -16 Simplifying x8 = -16 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 '(4 + x4)' equal to zero and attempt to solve: Simplifying 4 + x4 = 0 Solving 4 + x4 = 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 + x4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x4 = 0 + -4 x4 = 0 + -4 Combine like terms: 0 + -4 = -4 x4 = -4 Simplifying x4 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 5

Set the factor '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 6

Set the factor '(-2 + x2)' equal to zero and attempt to solve: Simplifying -2 + x2 = 0 Solving -2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 0 + 2 x2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}

Solution

x = {-1.414213562, 1.414213562}

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