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