e^2x+e^5x=e^14

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Solution for e^2x+e^5x=e^14 equation: 


Simplifying
e2x + e5x = e14

Solving
e2x + e5x = e14

Solving for variable 'e'.

Combine like terms: e14 + -1e14 = 0
e2x + e5x + -1e14 = 0

Factor out the Greatest Common Factor (GCF), 'e2'.
e2(x + e3x + -1e12) = 0


Subproblem 1
Set the factor 'e2' equal to zero and attempt to solve:

Simplifying
e2 = 0

Solving
e2 = 0

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

Simplifying
e2 = 0

Take the square root of each side:
e = {0}

Subproblem 2
Set the factor '(x + e3x + -1e12)' equal to zero and attempt to solve:

Simplifying
x + e3x + -1e12 = 0

Reorder the terms:
e3x + -1e12 + x = 0

Solving
e3x + -1e12 + x = 0

The solution to this equation could not be determined.

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

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