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  1. #1
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    show me

    3/(x+6)=-3/4
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  2. #2
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    -3(x+6)=4*3
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by De La O View Post
    3/(x+6)=-3/4
    Multiply both sides by the LCD 4(x+6)

    $\displaystyle 4(x+6)\left(\frac{3}{x+6}\right)=\left(\frac{-3}{4}\right)4(x+6)$


    Can you finish?
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  4. #4
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    thanks VonNemo-you rock but as I am mathematically retarded (and prob more), can you show me the whole thing?
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  5. #5
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by De La O View Post
    thanks VonNemo-you rock but as I am mathematically retarded (and prob more), can you show me the whole thing?
    We are all mathematically retarded in one field or another.

    So, continuing from where I left off...




    Look at the left side of the equation, note how the $\displaystyle (x+6)s$ cancel leaving only

    $\displaystyle 4\cdot3=\left(\frac{-3}{4}\right)4(x+6)$.

    Now look at the right side, the fours cancel leaving

    $\displaystyle 4\cdot3=-3(x+6)$.
    This is why we multiplied by the LCD, to get rid of those nasty fractions.

    Now, multiplying out the parentheses,

    $\displaystyle 12=-3x-18$

    adding 18 to both sides we get

    $\displaystyle 30=-3x$

    Finally, we divide each side by -3 and we are left with

    $\displaystyle -10=x$


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  6. #6
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  7. #7
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    e^(i*pi)'s Avatar
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    I would go about it by taking the reciprocal of both sides

    $\displaystyle \frac{x+6}{3} = -\frac{4}{3}$

    3 cancels leaving $\displaystyle x+6=-4$ which should be pretty easy solve
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