A rational equation means that you are setting two rational expressions equal to each other. The goal is to solve for x; that is, find the x value(s) that make the equation true.
Suppose I told you that:
If you think about it, the x in this equation has to be a 3. That is to say, if x=3 then this equation is true; for any other x value, this equation is false.
This leads us to a very general rule.
A very general rule about rational equations
If you have a rational equation where the denominators are the same, then the numerators must be the same.
This in turn suggests a strategy: find a common denominator, and then set the numerators equal.
Example: Rational Equation  


Same problem we worked before, but now we are equating these two fractions, instead of subtracting them. 

Rewrite both fractions with the common denominator. 

Based on the rule above—since the denominators are equal, we can now assume the numerators are equal. 

Multiply it out 

What we’re dealing with, in this case, is a quadratic equation. As always, move everything to one side... 

...and then factor. A common mistake in this kind of problem is to divide both sides by 

Two solutions to the quadratic equation. However, in this case, 
As always, it is vital to remember what we have found here. We started with the equation
To put it another way: if you graphed the functions
"DAISY and BRF versions of this collection are available."