x*x*x*x*x*x*x*x=10000

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Solution for x*x*x*x*x*x*x*x=10000 equation:


Simplifying
x * x * x * x * x * x * x * x = 10000

Multiply x * x
x2 * x * x * x * x * x * x = 10000

Multiply x2 * x
x3 * x * x * x * x * x = 10000

Multiply x3 * x
x4 * x * x * x * x = 10000

Multiply x4 * x
x5 * x * x * x = 10000

Multiply x5 * x
x6 * x * x = 10000

Multiply x6 * x
x7 * x = 10000

Multiply x7 * x
x8 = 10000

Solving
x8 = 10000

Solving for variable 'x'.

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

Simplifying
x8 = 10000

Reorder the terms:
-10000 + x8 = 10000 + -10000

Combine like terms: 10000 + -10000 = 0
-10000 + x8 = 0

Factor a difference between two squares.
(100 + x4)(-100 + x4) = 0

Factor a difference between two squares.
(100 + x4)((10 + x2)(-10 + x2)) = 0

Subproblem 1

Set the factor '(100 + x4)' equal to zero and attempt to solve: Simplifying 100 + x4 = 0 Solving 100 + x4 = 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 + x4 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + x4 = 0 + -100 x4 = 0 + -100 Combine like terms: 0 + -100 = -100 x4 = -100 Simplifying x4 = -100 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 '(10 + x2)' equal to zero and attempt to solve: Simplifying 10 + x2 = 0 Solving 10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x2 = 0 + -10 x2 = 0 + -10 Combine like terms: 0 + -10 = -10 x2 = -10 Simplifying x2 = -10 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 '(-10 + x2)' equal to zero and attempt to solve: Simplifying -10 + x2 = 0 Solving -10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x2 = 0 + 10 x2 = 0 + 10 Combine like terms: 0 + 10 = 10 x2 = 10 Simplifying x2 = 10 Take the square root of each side: x = {-3.16227766, 3.16227766}

Solution

x = {-3.16227766, 3.16227766}

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