# How do you solve #xe^(2x)=5e^(2x)#?

##### 1 Answer

May 15, 2015

You have an equation where both sides share a common factor:

The simplest way is to eliminate such terms. You can think this in two different possible ways, but both end up doing the same for you: solving your equation to

First: you can divide both sides of the equation by

This will leave you with the very result:

Another possible way of thinking the problem is to pass the left

You choose which line of thought you prefer, but the different solutions will lead you to the same answer!