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

Algebra.Com
Question 39018: Find all values of w satisfying the equation:
3w/w-2 = -27/w^2 - 8w + 12

Answer by fractalier(6550)   (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

RELATED QUESTIONS

Find all values of w satisfying the equation: 3w/w - 2 = negative 27/w^2 - 8w +... (answered by fractalier)
How do I find all the values of w satisfying the equation? 6-5/w+2=-4/w-1 (answered by checkley71)
find all values of w that satisfy the equation if there is more than one solution,... (answered by jim_thompson5910)
can you please help me with this equation?! What are the factors of the equation {{{... (answered by nerdybill)
w^2 - 8w =... (answered by user_dude2008)
16-2(8w-7)=3w-18(2-w) (answered by jim_thompson5910)
2 w + 8w w -------- * ----- 2+2w-48 w+6... (answered by stanbon)
w^2-4=3w (answered by checkley77)
w^2-3w-28 (answered by fractalier)