# How do you solve #5/(2x+7) = -9/(4x+14)#?

##### 1 Answer

Sep 27, 2015

#### Answer:

This equality has no solutions.

#### Explanation:

An identity holds if and only if the identity between the inverses hold (as long as you don't have something like

The only thing we have to take care about is to make sure that the original denominators aren't zero, i.e.

Now we can go on searching for the solutions:

by cross-multiplication, and expanding we get

This is the value we couldn't consider, so the equality has no solutions.