SOLUTION: Find all values of w satisfying the equation: 3w/w-2 = -27/w^2 - 8w + 12

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all values of w satisfying the equation: 3w/w-2 = -27/w^2 - 8w + 12      Log On


   

Question 39018: Find all values of w satisfying the equation:
3w/w-2 = -27/w^2 - 8w + 12
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If we multiply the left side of
3w/w-2 = -27/w^2 - 8w + 12
by (w-6)/(w-6) we can get the denominators to be equal...
3w(w-6)/(w-2)(w-6) = -27/w^2 - 8w + 12
and thus
3w(w-6) = -27 divide both sides by 3 and solve
w(w-6) = -9
w^2 - 6w + 9 = 0
(w - 3)^2 = 0
w = 3