SOLUTION: When solving a rational equation what is the first step we must always take? Illustrate with an example how you clear the rational equation of fractions.

Question 442304: When solving a rational equation what is the first step we must always take? Illustrate with an example how you clear the rational equation of fractions.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Get a common denominator. Then all you have is a polynomial in the numerator that you have solve for. When you get your solution check to make sure it isn't an "extraneous solution." Let's say you get x=4, but in the denominator you had a (x-4), then x=4 would be an extraneous solution.
Here's an example:

Find a common denominator: In this case it will be 4x+4.
Then x + 3x(x+1) = 10(4)
------------------
4x+4
Since we have a common denominator, we solve just the numerator.
Here is our concern now:
x + 3x(x+1) = 40
x + 3x^2 + 3x = 40
3x^2 + 4x = 40
3x^2 +4x - 40 = 0
Then you'd solve it: (why'd I pick such nasty numbers. :D)
Hope this helps!
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