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Math Help - Help solving this equation..?

  1. #1
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    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
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  2. #2
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    Quote Originally Posted by RandomStudent View Post
    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.
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  3. #3
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    There was no directions, it just gave me the expression to solve..

    (x+3)/(x+5) + 6/(x^2 + 3x - 10)
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  4. #4
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    Quote Originally Posted by RandomStudent View Post
    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).
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  5. #5
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    Quote Originally Posted by RandomStudent View Post
    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)}<br />

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

    \frac{(x+3)(x-2)}{(x+5)(x-2)} + \frac{6}{(x+5)(x-2)}<br />

    add the fractions ...

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

    finish by multiplying the two binomials in the numerator and combining like terms.


    fyi ... one simplifies an expression or solves an equation. there is a difference.
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