e^2z=1

Solution for e^2z=1 equation:

Simplifying
e2z = 1

Solving
e2z = 1

Solving for variable 'e'.

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

Divide each side by 'z'.
e2 = z-1

Simplifying
e2 = z-1

Combine like terms: z-1 + -1z-1 = 0
e2 + -1z-1 = 0

Factor out the Greatest Common Factor (GCF), 'z-1'.
z-1(e2z + -1) = 0

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

Simplifying
z-1 = 0

Solving
z-1 = 0

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

Add '-1z-1' to each side of the equation.
z-1 + -1z-1 = 0 + -1z-1
Remove the zero:
0 = -1z-1

Simplifying
0 = -1z-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 '(e2z + -1)' equal to zero and attempt to solve:

Simplifying
e2z + -1 = 0

Reorder the terms:
-1 + e2z = 0

Solving
-1 + e2z = 0

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

Add '1' to each side of the equation.
-1 + 1 + e2z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + e2z = 0 + 1
e2z = 0 + 1

Combine like terms: 0 + 1 = 1
e2z = 1

Divide each side by 'z'.
e2 = z-1

Simplifying
e2 = z-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.