10000000000000000=x^8

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Solution for 10000000000000000=x^8 equation:


Simplifying
10000000000000000 = x8

Solving
10000000000000000 = x8

Solving for variable 'x'.

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

Add '-1x8' to each side of the equation.
10000000000000000 + -1x8 = x8 + -1x8

Combine like terms: x8 + -1x8 = 0
10000000000000000 + -1x8 = 0

Add '-10000000000000000' to each side of the equation.
10000000000000000 + -10000000000000000 + -1x8 = 0 + -10000000000000000

Combine like terms: 10000000000000000 + -10000000000000000 = 0
0 + -1x8 = 0 + -10000000000000000
-1x8 = 0 + -10000000000000000

Combine like terms: 0 + -10000000000000000 = -10000000000000000
-1x8 = -10000000000000000

Divide each side by '-1'.
x8 = 10000000000000000

Simplifying
x8 = 10000000000000000

Reorder the terms:
-10000000000000000 + x8 = 10000000000000000 + -10000000000000000

Combine like terms: 10000000000000000 + -10000000000000000 = 0
-10000000000000000 + x8 = 0

Factor a difference between two squares.
(100000000 + x4)(-100000000 + x4) = 0

Factor a difference between two squares.
(100000000 + x4)((10000 + x2)(-10000 + x2)) = 0

Factor a difference between two squares.
(100000000 + x4)((10000 + x2)((100 + x)(-100 + x))) = 0

Subproblem 1

Set the factor '(100000000 + x4)' equal to zero and attempt to solve: Simplifying 100000000 + x4 = 0 Solving 100000000 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-100000000' to each side of the equation. 100000000 + -100000000 + x4 = 0 + -100000000 Combine like terms: 100000000 + -100000000 = 0 0 + x4 = 0 + -100000000 x4 = 0 + -100000000 Combine like terms: 0 + -100000000 = -100000000 x4 = -100000000 Simplifying x4 = -100000000 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 '(10000 + x2)' equal to zero and attempt to solve: Simplifying 10000 + x2 = 0 Solving 10000 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10000' to each side of the equation. 10000 + -10000 + x2 = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + x2 = 0 + -10000 x2 = 0 + -10000 Combine like terms: 0 + -10000 = -10000 x2 = -10000 Simplifying x2 = -10000 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 '(100 + x)' equal to zero and attempt to solve: Simplifying 100 + x = 0 Solving 100 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + x = 0 + -100 x = 0 + -100 Combine like terms: 0 + -100 = -100 x = -100 Simplifying x = -100

Subproblem 4

Set the factor '(-100 + x)' equal to zero and attempt to solve: Simplifying -100 + x = 0 Solving -100 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + x = 0 + 100 x = 0 + 100 Combine like terms: 0 + 100 = 100 x = 100 Simplifying x = 100

Solution

x = {-100, 100}

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