SOLUTION: solve: 20/x-3 - 4 = 10/x+3

Algebra ->  Equations -> SOLUTION: solve: 20/x-3 - 4 = 10/x+3      Log On


   

Question 48886: solve: 20/x-3 - 4 = 10/x+3
Answer by alka001(14) About Me  (Show Source):
You can put this solution on YOUR website!
20/x-3 -4=10/x+3
20/x-3 -10/x+3 =4
(20(x+3)-10(x-3))/(x-3)(x+3)=4
10x+90/(x-3)(x+3)=4
10x+90=(x^2-9)*4
10x+90=4x^2-36
4x^2-10x-126=0
2x^2-5x-63=0
2x^2-14X+9X-63=0
2X(X-7)+9(X-7)=0
(X-7)(2X+9)=0
X=7,-9/2