6e^4x(e^2x+3)=15

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Solution for 6e^4x(e^2x+3)=15 equation: 


Simplifying
6e4x(e2x + 3) = 15

Reorder the terms:
6e4x(3 + e2x) = 15
(3 * 6e4x + e2x * 6e4x) = 15
(18e4x + 6e6x2) = 15

Solving
18e4x + 6e6x2 = 15

Solving for variable 'e'.

Reorder the terms:
-15 + 18e4x + 6e6x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 18e4x + 6e6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 6e4x + 2e6x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + 6e4x + 2e6x2)' equal to zero and attempt to solve:

Simplifying
-5 + 6e4x + 2e6x2 = 0

Solving
-5 + 6e4x + 2e6x2 = 0

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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