Results 1 to 7 of 7

Math Help - Struggling to simplyfy an equation :o(

  1. #1
    Newbie
    Joined
    Apr 2012
    From
    northants
    Posts
    4

    Struggling to simplyfy an equation :o(

    Hi, I have been trying to get my head around simplifying equations and was doing ok until I met this one:
    (a+bx)/cx=d+5 Im trying to solve for x and it's cx thats my brick wall. Would someone be kind enough to guid me through it please.?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,653
    Thanks
    1478

    Re: Struggling to simplyfy an equation :o(

    Quote Originally Posted by nejuleho View Post
    Hi, I have been trying to get my head around simplifying equations and was doing ok until I met this one:
    (a+bx)/cx=d+5 Im trying to solve for x and it's cx thats my brick wall. Would someone be kind enough to guid me through it please.?
    \displaystyle \begin{align*} \frac{a + b\,x}{c\,x} &= d + 5 \\ a + b\,x &= c\,x\left(d + 5\right) \end{align*}

    Now expand and then collect like terms
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2012
    From
    northants
    Posts
    4

    Re: Struggling to simplyfy an equation :o(

    Thx for such a prompt reply! I did actually get this far it's the expansion that's flooring me, how can it expand to cxd +5cx ? what am I doing wrong ?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,653
    Thanks
    1478

    Re: Struggling to simplyfy an equation :o(

    Quote Originally Posted by nejuleho View Post
    Thx for such a prompt reply! I did actually get this far it's the expansion that's flooring me, how can it expand to cxd +5cx ? what am I doing wrong ?
    That's exactly what you should get when you expand it, the term on the outside of the brackets is multiplied by every term inside the brackets.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Apr 2012
    From
    northants
    Posts
    4

    Re: Struggling to simplyfy an equation :o(

    Which gives a+bx = cxd +5cx , as I understand things there are no like terms to combine, I think I'm missing something...
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,802
    Thanks
    692

    Re: Struggling to simplyfy an equation :o(

    Hello, nejuleho!

    \text{Solve for }x:\;\;\frac{a+bx}{cx} \:=\:d+5

    \begin{array}{ccccc}\text{Multiply by }cx: & a+ bx \:=\:cx(d+5) \\ \\ \text{Expand:} & a+bx \:=\:cdx + 5cx \\ \\ \text{Subtract }bx: & a \:=\:cdx + 5cx - bx \\ \\ \text{Factor:} & a \:=\:(cd + 5c - b)x \\ \\ \text{Therefore:} & \dfrac{a}{cd+5c-b} \:=\:x  \end{array}

    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Apr 2012
    From
    northants
    Posts
    4

    Re: Struggling to simplyfy an equation :o(

    Ah! thank you both so much. I see my error now I did actually get as far as subtracting bx in one of my attempts but failed to factorize and apply the operator logic to complete.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simplyfy this!
    Posted in the Algebra Forum
    Replies: 4
    Last Post: March 23rd 2011, 07:27 AM
  2. difficulty to simplyfy a sum expression
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: March 22nd 2011, 05:41 AM
  3. simplyfy the following as much as possible
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 2nd 2009, 09:03 AM
  4. Replies: 3
    Last Post: February 21st 2009, 07:31 AM
  5. I'm struggling..
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: October 21st 2008, 05:51 PM

Search Tags


/mathhelpforum @mathhelpforum