(e^4x-7)*(e^2x)=2e

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Solution for (e^4x-7)*(e^2x)=2e equation: 


Simplifying
(e4x + -7)(e2x) = 2e

Reorder the terms:
(-7 + e4x)(e2x) = 2e

Reorder the terms for easier multiplication:
e2x(-7 + e4x) = 2e
(-7 * e2x + e4x * e2x) = 2e
(-7e2x + e6x2) = 2e

Solving
-7e2x + e6x2 = 2e

Solving for variable 'e'.

Reorder the terms:
-2e + -7e2x + e6x2 = 2e + -2e

Combine like terms: 2e + -2e = 0
-2e + -7e2x + e6x2 = 0

Factor out the Greatest Common Factor (GCF), 'e'.
e(-2 + -7ex + e5x2) = 0


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

Simplifying
e = 0

Solving
e = 0

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

Simplifying
e = 0

Subproblem 2
Set the factor '(-2 + -7ex + e5x2)' equal to zero and attempt to solve:

Simplifying
-2 + -7ex + e5x2 = 0

Solving
-2 + -7ex + e5x2 = 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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