# How do you solve #(3x)/(x-4)=(2x)/(x-3)+6/(x^2-7x+12)# and check for extraneous solutions?

##### 1 Answer

Aug 25, 2016

#### Explanation:

Start by factoring the denominator.

Put on a common denominator:

Let's finally note restrictions on the variable. This is done by setting the denominators to

AND

Hence,

Since

Hopefully this helps!