1+e^2z=0

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Solution for 1+e^2z=0 equation:


Simplifying
1 + e2z = 0

Solving
1 + e2z = 0

Solving for variable 'e'.

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 = -1z-1

Simplifying
e2 = -1z-1

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