SOLUTION: solve 9 + (2/(w-1)) = -4/(w-2) I got stuck at 9w^2 - 21w + 10 = 0 I can't foil it and when I clicked no solution it said it was incorrect

Algebra.Com
Question 773090: solve
9 + (2/(w-1)) = -4/(w-2)
I got stuck at 9w^2 - 21w + 10 = 0
I can't foil it and when I clicked no solution it said it was incorrect
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
  

Multiply every term by the LCD of 

  

Cancel away the denominators:

  

   9(w-1)(w-2) + 2(w-2) = -4(w-1)
9(w˛ - 3w + 2) + 2w - 4 = -4w + 4

9w˛ - 27w + 18 + 2w - 4 = -4w + 4

         9w˛ - 25w + 14 = -4w + 4

         9w˛ - 21w + 10 = 0   <--- you got here and couldn't factor.

Use trial and error. The only ways to factor 9 is 9*1 and 3*3,
The only ways to factor 10 is 10*1 and 5*2

           (3w-5)(3w-2) = 0

       3w - 5 = 0;  3w - 2 = 0
           3w = 5;      3w = 2
            w = ;       w = 

Edwin
RELATED QUESTIONS

ok I want to see if I am doing this right? (8/21w) + (2/9w) 3w/(21w)(9w) +... (answered by jim_thompson5910)
The length of a rectangle is 6cm more than its width. The area is 216 sq cm. What are the (answered by MathTherapy)
I believe this topic explains it best, i need to solve the system using the elimination... (answered by AnlytcPhil)
when the sum of 8 and 18 times a positive number is subtracted from the square of the... (answered by richwmiller)
-3 < w/-2 + 10 + w/4 Can you please show me how to solve this problem? I get confused (answered by josgarithmetic)
Hi,my name is Natalia. I solved two problems, but I'm not sure that I did it right. I... (answered by venugopalramana)
THIS QUESTION WAS ASKED ON MY MATHS 4n + 1 = 9 I HAVE TRIED TO LOOK AT THE QUESTION IN (answered by stanbon,MathLover1)
1/3(7-9w)=7w-6 I got that w= 25/12 but it doesn’t seem right and I don’t really... (answered by solver91311)
Is it possible for an equation to have a solution but no graph? Here's the problem: 2/x + (answered by Alan3354,jsmallt9)