SOLUTION: 4 x+20/x^2+5x=

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Question 191192: 4 x+20/x^2+5x=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284x%2B20%29%2F%28x%5E2%2B5x%29 Start with the given expression.


%284%28x%2B5%29%29%2F%28x%5E2%2B5x%29 Factor 4x%2B20 to get 4%28x%2B5%29.


%284%28x%2B5%29%29%2F%28x%2A%28x%2B5%29%29 Factor x%5E2%2B5x to get x%2A%28x%2B5%29.


%284%2Ahighlight%28%28x%2B5%29%29%29%2F%28x%2Ahighlight%28%28x%2B5%29%29%29 Highlight the common terms.


%284%2Across%28%28x%2B5%29%29%29%2F%28x%2Across%28%28x%2B5%29%29%29 Cancel out the common terms.


4%2Fx Simplify.


So %284x%2B20%29%2F%28x%5E2%2B5x%29 simplifies to 4%2Fx.


In other words, %284x%2B20%29%2F%28x%5E2%2B5x%29=4%2Fx where x%3C%3E-5 or x%3C%3E0