# Thread: Help solving this equation..?

1. ## Help solving this equation..?

I'm stuck on this problem, can someone explain how to do this for me?

x+3/x+5 + 6/x^2 + 3x - 10

2. Originally Posted by RandomStudent
I'm stuck on this problem, can someone explain how to do this for me?

x+3/x+5 + 6/x^2 + 3x - 10
not an equation ... it's an expression.

what do the directions say?

please put in some parentheses to make clear which terms comprise numerator(s) and denominator(s) ... thank you.

3. There was no directions, it just gave me the expression to solve..

(x+3)/(x+5) + 6/(x^2 + 3x - 10)

4. Originally Posted by RandomStudent
There was no directions, it just gave me the expression to solve..

(x+3)/(x+5) + 6/(x^2 + 3x - 10)
There is nothing to solve because, as has already been said, there is no equation (equations contain an equal sign).

Do you mean simplify ....? (Which has a very different meaning to solve).

5. Originally Posted by RandomStudent
There was no directions, it just gave me the expression to solve..

(x+3)/(x+5) + 6/(x^2 + 3x - 10)
factor the denominator of the second term ...

$\frac{x+3}{x+5} + \frac{6}{(x+5)(x-2)}
$

common denominator is $(x+5)(x-2)$ ...

$\frac{(x+3)(x-2)}{(x+5)(x-2)} + \frac{6}{(x+5)(x-2)}
$

$\frac{(x+3)(x-2)+6}{(x+5)(x-2)}$