SOLUTION: Simplify please: 4 + 2/x - (3x)/(x+5) I tried using the websites expression simplifier, but all it did was move the four to the right side.

Algebra ->  Expressions-with-variables -> SOLUTION: Simplify please: 4 + 2/x - (3x)/(x+5) I tried using the websites expression simplifier, but all it did was move the four to the right side.      Log On


   



Question 919243: Simplify please: 4 + 2/x - (3x)/(x+5)
I tried using the websites expression simplifier, but all it did was move the four to the right side.

Found 2 solutions by jim_thompson5910, MathTherapy:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The idea is to get each term to have the same denominator. Then we combine the fractions. The LCD is x%28x%2B5%29

4+%2B+2%2Fx+-+%283x%29%2F%28x%2B5%29

4%2F1+%2B+2%2Fx+-+%283x%29%2F%28x%2B5%29

%284x%28x%2B5%29%29%2F%281%2Ax%28x%2B5%29%29+%2B+2%2Fx+-+%283x%29%2F%28x%2B5%29

%284x%28x%2B5%29%29%2F%28x%28x%2B5%29%29+%2B+2%2Fx+-+%283x%29%2F%28x%2B5%29







%284x%28x%2B5%29%2B2%28x%2B5%29-3x%5E2%29%2F%28x%28x%2B5%29%29

%284x%5E2%2B20x%2B2x%2B10-3x%5E2%29%2F%28x%28x%2B5%29%29

%28x%5E2%2B22x%2B10%29%2F%28x%28x%2B5%29%29

=======================================================

4+%2B+2%2Fx+-+%283x%29%2F%28x%2B5%29 simplifies to %28x%5E2%2B22x%2B10%29%2F%28x%28x%2B5%29%29


Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Simplify please: 4 + 2/x - (3x)/(x+5)
I tried using the websites expression simplifier, but all it did was move the four to the right side.

4+%2B+2%2Fx+-+%283x%29%2F%28x+%2B+5%29
%284%28x%29%28x+%2B+5%29+%2B+2%28x+%2B+5%29+-+3x%28x%29%29%2Fx%28x+%2B+5%29-------- Applying LCD, x(x + 5)
%284x%5E2+%2B+20x+%2B+2x+%2B+10+-+3x%5E2%29%2Fx%28x+%2B+5%29
%284x%5E2+-+3x%5E2+%2B+20x+%2B+2x+%2B+10%29%2Fx%28x+%2B+5%29
highlight_green%28highlight_green%28%28x%5E2+%2B+22x+%2B+10%29%2Fx%28x+%2B+5%29%29%29