SOLUTION: Show me how to solve this equation: (5x+10/x^2)(x/x+2) + 2/3 The answer given is 2x+15/3x and I can't figure out how to get to that.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Show me how to solve this equation: (5x+10/x^2)(x/x+2) + 2/3 The answer given is 2x+15/3x and I can't figure out how to get to that.      Log On


   

Question 188174: Show me how to solve this equation:
(5x+10/x^2)(x/x+2) + 2/3
The answer given is 2x+15/3x and I can't figure out how to get to that.
Answer by dukesmart(20) About Me  (Show Source):
You can put this solution on YOUR website!

(5x+10)/x^2)(x/x+2) +2/3 = [5(x+2)/x^2][x/x+2] +2/3

= 5/x + 2/3

= (2x+15)/3x