x=exp(2*y)

Solution for x=exp(2*y) equation:

Simplifying
x = exp(2y)

Remove parenthesis around (2y)
x = epx * 2y

Reorder the terms for easier multiplication:
x = 2epx * y

Multiply epx * y
x = 2epxy

Solving
x = 2epxy

Solving for variable 'x'.

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

Add '-2epxy' to each side of the equation.
-2epxy + x = 2epxy + -2epxy

Combine like terms: 2epxy + -2epxy = 0
-2epxy + x = 0

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

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

Simplifying
x = 0

Solving
x = 0

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

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

Simplifying
-2epy + 1 = 0

Reorder the terms:
1 + -2epy = 0

Solving
1 + -2epy = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2epy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2epy = 0 + -1
-2epy = 0 + -1

Combine like terms: 0 + -1 = -1
-2epy = -1

Add '2epy' to each side of the equation.
-2epy + 2epy = -1 + 2epy

Combine like terms: -2epy + 2epy = 0
0 = -1 + 2epy

Simplifying
0 = -1 + 2epy

The solution to this equation could not be determined.

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