SOLUTION: Please answer the following question with steps and explanation (I am very confused on this problem). 2 = x-2 ___ ____ x-3 6 Thanks :)

SOLUTION: Please answer the following question with steps and explanation (I am very confused on this problem). 2 = x-2 _ __ x-3 6 Thanks :)

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Question 489718: Please answer the following question with steps and explanation (I am very confused on this problem).
2 = x-2
___ ____
x-3 6
Thanks :)
Answer by chessace(471) (Show Source): You can put this solution on YOUR website!
2/(x-3) = (x-2)/6
Cross mulltiply to get
12 = (x-2)*(x-3)
Flip and expand right hand side:
(x^2 -5x +6) -12 =0
Regroup:
x^2 - 5x - 6 = 0
Factor:
(x-6)(x+1) = 0
x = 6, -1.

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