e^2z-z=1

Solution for e^2z-z=1 equation:

Simplifying
e2z + -1z = 1

Solving
e2z + -1z = 1

Solving for variable 'e'.

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

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

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

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

Simplifying
e2 = z-1 + 1

Reorder the terms:
e2 = 1 + z-1

Reorder the terms:
-1 + e2 + -1z-1 = 1 + z-1 + -1 + -1z-1

Reorder the terms:
-1 + e2 + -1z-1 = 1 + -1 + z-1 + -1z-1

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

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

The solution to this equation could not be determined.