SOLUTION: Please help me solve this equation 3/x + 15/x-20= 3x-9/x-20. The / represent fractions. The answers are x=4, and x=5. I need to know how to work the problem. Any help is greatly a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve this equation 3/x + 15/x-20= 3x-9/x-20. The / represent fractions. The answers are x=4, and x=5. I need to know how to work the problem. Any help is greatly a      Log On


   

Question 139262: Please help me solve this equation 3/x + 15/x-20= 3x-9/x-20. The / represent fractions. The answers are x=4, and x=5. I need to know how to work the problem. Any help is greatly appreciated.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve this equation:
:
3%2Fx + 15%2F%28%28x-20%29%29 = %28%283x-9%29%29%2F%28%28x-20%29%29
:
Multiply equation by the common denominator, namely x(x-20); results:
3(x-20) + 15x = x(3x-9)
:
3x - 60 + 15x = 3x^2 - 9x
:
18x - 60 = 3x^2 - 9x
;
0 = 3x^2 - 9x - 18x + 60
;
0 = 3x^2 - 27x + 60; a quadratic equation
:
Simplify, divide equation by 3:
x^2 - 9x + 20 = 0
Factor
(x-4)(x-5) = 0
:
x = +4 and x =+5
:
:
Do you think you can do this now?