Robert J. answered • 03/26/13
Tutor
4.6
(13)
Certified High School AP Calculus and Physics Teacher
x/(2x-6) - 3/(x^2-6x+9) = (x-2)/(3x-9) <==Is this what you want to solve?
Multiply both sides by the LCD: 6(x-3)^2,
3x(x-3) - 18 = 2(x-2)(x-3)
3x^2 - 9x - 18 = 2(x^2-5x+6)
Collect all terms in one side,
x^2 + x - 30 = (x+6)(x-5) = 0
Answer: x = -6, 5
