x^10-100=0

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Solution for x^10-100=0 equation:


Simplifying
x10 + -100 = 0

Reorder the terms:
-100 + x10 = 0

Solving
-100 + x10 = 0

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + x10 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + x10 = 0 + 100
x10 = 0 + 100

Combine like terms: 0 + 100 = 100
x10 = 100

Simplifying
x10 = 100

Reorder the terms:
-100 + x10 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + x10 = 0

Factor a difference between two squares.
(10 + x5)(-10 + x5) = 0

Subproblem 1

Set the factor '(10 + x5)' equal to zero and attempt to solve: Simplifying 10 + x5 = 0 Solving 10 + x5 = 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 + x5 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x5 = 0 + -10 x5 = 0 + -10 Combine like terms: 0 + -10 = -10 x5 = -10 Simplifying x5 = -10 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 + x5)' equal to zero and attempt to solve: Simplifying -10 + x5 = 0 Solving -10 + x5 = 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 + x5 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x5 = 0 + 10 x5 = 0 + 10 Combine like terms: 0 + 10 = 10 x5 = 10 Simplifying x5 = 10 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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