SOLUTION: can you please help me solve the equation and show how it is done? (1)/(x+5)+(3)/(x^(2)+x-20)=(2)/(x-4)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can you please help me solve the equation and show how it is done? (1)/(x+5)+(3)/(x^(2)+x-20)=(2)/(x-4)      Log On


   

Question 746040: can you please help me solve the equation and show how it is done?
(1)/(x+5)+(3)/(x^(2)+x-20)=(2)/(x-4)
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
you stated the problem very cleanly, good for you
(1)/(x+5)+(3)/(x^(2)+x-20)=(2)/(x-4)
here we go
(1)/(x+5)+(3)/(x+5)(x-4) = (2)/(x-4) note that I factored the quadratic
multiply both sides of the = sign by (x+5)(x-4), and we get
(x-4)+3 = (2)(x+5)
x-1 = 2x+10
x=-11