Question 440425
how do i solve 5 over 2x-12 - 20 over x squared-4x-12?
..
5/(2x-12)-20/(x^2-4x-12)
5/2(x-6)-20(x-6)(x+2)
LCD=2(x-6)(x+2)
multiply both terms by the LCD and divide the result by the LCD
(5(x+2)-20*2)/2(x-6)(x+2)
(5x+10-40)/2(x-6)(x+2)
5x-30/2(x-6)(x+2)
5(x-6)/2(x-6)(x+2)
cancel out (x-6)
5/2(x+2) (ans)