3e^7t=7e^6t

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Solution for 3e^7t=7e^6t equation: 


Simplifying
3e7t = 7e6t

Solving
3e7t = 7e6t

Solving for variable 'e'.

Reorder the terms:
-7e6t + 3e7t = 7e6t + -7e6t

Combine like terms: 7e6t + -7e6t = 0
-7e6t + 3e7t = 0

Factor out the Greatest Common Factor (GCF), 'e6t'.
e6t(-7 + 3e) = 0


Subproblem 1
Set the factor 'e6t' equal to zero and attempt to solve:

Simplifying
e6t = 0

Solving
e6t = 0

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

Simplifying
e6t = 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 '(-7 + 3e)' equal to zero and attempt to solve:

Simplifying
-7 + 3e = 0

Solving
-7 + 3e = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3e = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3e = 0 + 7
3e = 0 + 7

Combine like terms: 0 + 7 = 7
3e = 7

Divide each side by '3'.
e = 2.333333333

Simplifying
e = 2.333333333
Solution
e = {2.333333333}

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