3e^6t=8e^5t

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Solution for 3e^6t=8e^5t equation: 


Simplifying
3e6t = 8e5t

Solving
3e6t = 8e5t

Solving for variable 'e'.

Reorder the terms:
-8e5t + 3e6t = 8e5t + -8e5t

Combine like terms: 8e5t + -8e5t = 0
-8e5t + 3e6t = 0

Factor out the Greatest Common Factor (GCF), 'e5t'.
e5t(-8 + 3e) = 0


Subproblem 1
Set the factor 'e5t' equal to zero and attempt to solve:

Simplifying
e5t = 0

Solving
e5t = 0

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

Simplifying
e5t = 0

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 '(-8 + 3e)' equal to zero and attempt to solve:

Simplifying
-8 + 3e = 0

Solving
-8 + 3e = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3e = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3e = 0 + 8
3e = 0 + 8

Combine like terms: 0 + 8 = 8
3e = 8

Divide each side by '3'.
e = 2.666666667

Simplifying
e = 2.666666667
Solution
e = {2.666666667}

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