y^20=1

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Solution for y^20=1 equation:


Simplifying
y20 = 1

Solving
y20 = 1

Solving for variable 'y'.

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

Simplifying
y20 = 1

Reorder the terms:
-1 + y20 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + y20 = 0

Factor a difference between two squares.
(1 + y10)(-1 + y10) = 0

Factor a difference between two squares.
(1 + y10)((1 + y5)(-1 + y5)) = 0

Subproblem 1

Set the factor '(1 + y10)' equal to zero and attempt to solve: Simplifying 1 + y10 = 0 Solving 1 + y10 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y10 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y10 = 0 + -1 y10 = 0 + -1 Combine like terms: 0 + -1 = -1 y10 = -1 Simplifying y10 = -1 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 '(1 + y5)' equal to zero and attempt to solve: Simplifying 1 + y5 = 0 Solving 1 + y5 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y5 = 0 + -1 y5 = 0 + -1 Combine like terms: 0 + -1 = -1 y5 = -1 Simplifying y5 = -1 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 '(-1 + y5)' equal to zero and attempt to solve: Simplifying -1 + y5 = 0 Solving -1 + y5 = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + y5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y5 = 0 + 1 y5 = 0 + 1 Combine like terms: 0 + 1 = 1 y5 = 1 Simplifying y5 = 1 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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