e^2x-1=1

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


Simplifying
e2x + -1 = 1

Reorder the terms:
-1 + e2x = 1

Solving
-1 + e2x = 1

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 + e2x = 1 + 1

Combine like terms: -1 + 1 = 0
0 + e2x = 1 + 1
e2x = 1 + 1

Combine like terms: 1 + 1 = 2
e2x = 2

Divide each side by 'x'.
e2 = 2x-1

Simplifying
e2 = 2x-1

Combine like terms: 2x-1 + -2x-1 = 0
e2 + -2x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -2) = 0


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

Simplifying
x-1 = 0

Solving
x-1 = 0

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

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

Simplifying
0 = -1x-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 '(e2x + -2)' equal to zero and attempt to solve:

Simplifying
e2x + -2 = 0

Reorder the terms:
-2 + e2x = 0

Solving
-2 + e2x = 0

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

Add '2' to each side of the equation.
-2 + 2 + e2x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + e2x = 0 + 2
e2x = 0 + 2

Combine like terms: 0 + 2 = 2
e2x = 2

Divide each side by 'x'.
e2 = 2x-1

Simplifying
e2 = 2x-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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