SOLUTION: ((2x^2-2x-24)/(6x+18))/((9x-36)/(2x))

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Question 662017: ((2x^2-2x-24)/(6x+18))/((9x-36)/(2x))
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with
((2x^2-2x-24)/(6x+18))/((9x-36)/(2x))
First,
2(x^2-x-12)
2(x-4)(x+3)
Next
6(x+3)
Then
9(x-4)
Result
[2(x-4)(x+3)] / 6(x+3) / 9(x-4) /2x
2(x-4)(x+3) / 6(x+3) = (x-4) /3
(x-4)/3 / 9(x-4) is the same as (x-4)/3 * 1/9(x-4) = 1/27
1/27 / 2x is the same as 1/27 * 1/2x = 1/54x
This operation simplifies to 1/54x