w^143=w

Solution for w^143=w equation:

Simplifying
w143 = w

Solving
w143 = w

Solving for variable 'w'.

Reorder the terms:
-1w + w143 = w + -1w

Combine like terms: w + -1w = 0
-1w + w143 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-1 + w142) = 0

Factor a difference between two squares.
w((1 + w71)(-1 + w71)) = 0

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(1 + w71)' equal to zero and attempt to solve:

Simplifying
1 + w71 = 0

Solving
1 + w71 = 0

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

Add '-1' to each side of the equation.
1 + -1 + w71 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + w71 = 0 + -1
w71 = 0 + -1

Combine like terms: 0 + -1 = -1
w71 = -1

Simplifying
w71 = -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 + w71)' equal to zero and attempt to solve:

Simplifying
-1 + w71 = 0

Solving
-1 + w71 = 0

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

Add '1' to each side of the equation.
-1 + 1 + w71 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + w71 = 0 + 1
w71 = 0 + 1

Combine like terms: 0 + 1 = 1
w71 = 1

Simplifying
w71 = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
w = {0}