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Thread: Simplifing

  1. #1 Simplifing 
    Forum Freshman LoKo1Wolf's Avatar
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    Im really bad with math and i need some help.

    I dont understand the procces of simplyfing.

    ex: 2(3+x) + x(1-4x) +5


    The_Wolf
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    • #2 Re: Simplifing 
      Forum Junior c186282's Avatar
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      Quote Originally Posted by LoKo1Wolf
      I'm really bad with math and i need some help.

      I don't understand the process of simplifying.

      ex: 2(3+x) + x(1-4x) +5
      Just start moving stuff around. You can bring the 2 and the x inside the "( )" then reorder.


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    • #3 Re: Simplifing 
      Forum Junior DivideByZero's Avatar
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      Quote Originally Posted by LoKo1Wolf
      Im really bad with math and i need some help.

      I dont understand the procces of simplyfing.

      ex: 2(3+x) + x(1-4x) +5

      heres a hint

      a(b+c) = ab + ac
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    • #4  
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      It should be 2(3+x) + x(1-4x) + 5 = 0.

      If you were to simplify this, you would go through the following steps:

      • 1. 2(3+x) + x(1-4x) + 5 = 0

        2. 6 + 2x + x - 8x^2 + 5 = 0

        3. -8x^2 + 3x + 11 = 0


      We can see that it's a quadratic equation, so we can simplify further by completing the square:

      • 4. -8x^2 + 3x = -11

        5. x^2 + (3/8 )x = -11/8

        6. x^2 + (3/8 )x + (3/16)^2 = -11/8 + (3/16)^2

        7. x^2 + (3/8 )x + 9/256 = -11/8 + 9/256

        8. (x + 3/16)^2 = -11/8 + 9/256

        9. x + 3/16 = sqrt(-11/8 + 9/256)

        10. x = - 3/16 +- sqrt(-11/8 + 9/256)


      As for a simple example, take this 2(x - 1) = x(1 + 2), to simplify we do this:

      • 1. 2x - 2 = x + 2x

        2. 2x - x - 2x = 2

        3. -x = 2

        4. x = -2


      Now, substitute -2 for the x's in the above equation...

      • 1. 2(-2 - 1) = -2(1 + 2)

        2. -4 - 2 = -2 - 4

        3. -6 = -6


      Hope this helps!
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    • #5 Re: Simplifing 
      Forum Freshman LoKo1Wolf's Avatar
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      Quote Originally Posted by DivideByZero
      Quote Originally Posted by LoKo1Wolf
      Im really bad with math and i need some help.

      I dont understand the procces of simplyfing.

      ex: 2(3+x) + x(1-4x) +5

      heres a hint

      a(b+c) = ab + ac
      Still lost
      The_Wolf
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    • #6  
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      Then try harder!!!
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    • #7  
      Forum Freshman LoKo1Wolf's Avatar
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      Quote Originally Posted by rgba
      It should be 2(3+x) + x(1-4x) + 5 = 0.

      If you were to simplify this, you would go through the following steps:

      • 1. 2(3+x) + x(1-4x) + 5 = 0

        2. 6 + 2x + x - 8x^2 + 5 = 0

        3. -8x^2 + 3x + 11 = 0


      We can see that it's a quadratic function, so we can simplify further by completing the square:

      • 4. -8x^2 + 3x = -11

        5. x^2 + (3/ 8)x = -11/8

        6. x^2 + (3/ 8)x + (3/16)^2 = -11/8 + (3/16)^2

        7. x^2 + (3/ 8)x + 9/256 = -11/8 + 9/256

        8. (x + 3/16)^2 = -11/8 + 9/256

        9. x + 3/16 = sqrt(-11/8 + 9/256)

        10. x = - 3/16 +- sqrt(-11/8 + 9/256)


      As for a simple example, take this 2(x - 1) = x(1 + 2), to simplify we do this:

      • 1. 2x - 2 = x + 2x

        2. 2x - x - 2x = 2

        3. -x = 2

        4. x = -2


      Now, substitute -2 for the x's in the above equation...

      • 1. 2(-2 - 1) = -2(1 + 2)

        2. -4 - 2 = -2 - 4

        3. -6 = -6


      Hope this helps!
      • ---V-V
        1. 2(3+x) + x(1-4x) + 5 = 0 Multiply 2 by 3,

        --------V---------V
        2. 6 + 2x + x - 8x^2 + 5 = 0 where the 2 & 8 come from?


        3. -8x^2 + 3x + 11 = 0
      The_Wolf
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    • #8  
      Forum Freshman LoKo1Wolf's Avatar
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      Quote Originally Posted by rgba
      Then try harder!!!
      Your answer was not the one i was refering to.
      The_Wolf
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    • #9  
      Forum Freshman LoKo1Wolf's Avatar
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      • ---V-V--V---------V
        1. 2(3+x) + x(1-4x) + 5 = 0 Multiply 2 by 3, 2 by x, 2 by 4. but what happend to
        the 1- in (1-4x) ?

        dont you multiply the x by 1 and by 4 in x(1-4x)

        -----------------V wouldnt it be: 6 + 2 x + x (1-8) + 5 = 0
        2. 6 + 2x + x - 8x^2 + 5 = 0


        3. -8x^2 + 3x + 11 = 0
      The_Wolf
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    • #10  
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      Quote Originally Posted by LoKo1Wolf
      • ---V-V--V---------V
        1. 2(3+x) + x(1-4x) + 5 = 0 Multiply 2 by 3, 2 by x, 2 by 4. but what happend to
        the 1- in (1-4x) ?

        dont you multiply the x by 1 and by 4 in x(1-4x)

        -----------------V wouldnt it be: 6 + 2 x + x (1-8) + 5 = 0
        2. 6 + 2x + x - 8x^2 + 5 = 0


        3. -8x^2 + 3x + 11 = 0
      You might want to consider working in an area that does not require any mathematics. It is not a character flaw that you don't get mathematics, but I can see that mathematics is going to be frustrating for you. Some people can paint and some can do math. Painting is a valuable talent too. So are many other things. You should try to emphasize your strong points.
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    • #11  
      Forum Freshman LoKo1Wolf's Avatar
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      I like to emphasize my weak points, math is one of them. Im terrible at it as you can probably see so i work twice as hard to accomodate it. Theres nothing wrong with that, i just like to get better at what im not good at.
      The_Wolf
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    • #12  
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      I think it's cool that you are trying to get better at math, but you should really be trying harder yourself. Why not get a book on arithmetic for starters, and work from there... Or have a look here: http://en.wikibooks.org/wiki/Beginning_Mathematics (that should be sufficiently simple for starters)

      By the way, I made a sign mistake, I was very tired after all! It should be:

      • 4. -8x^2 + 3x = -11

        5. x^2 + (3/-8 )x = -11/-8

        6 x^2 - 3x/8 = 11/8

        7. x^2 - 3x/8 + (-3/16)^2 = -11/8 + (-3/16)^2

        8. x^2 - 3x/8 + 9/256 = -11/8 + 9/256

        9. (x - 3/16)^2 = -11/8 + 9/256

        10. x - 3/16 = sqrt(-11/8 + 9/256)

        11. x = 3/16 +- sqrt(-11/8 + 9/256)


      and there are no solutions as the discriminant is negative, therefore there are no real solutions...
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    • #13  
      Forum Freshman LoKo1Wolf's Avatar
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      Thanks!!, im studying right now. Im on google books, im working up from Basic Math even though i already know it, you could say im reviewing.

      I figured that question was a little challenging for me :wink: , even though i like a good challenge theres always a method for taking the opponent down . In this case why dont you give me a less complex equation so i can start to better understand simplification :? .
      The_Wolf
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    • #14  
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      I already have, read my post again...
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    • #15  
      Forum Freshman LoKo1Wolf's Avatar
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      Ok so i learned how to simplify small problems

      [(5-3)x7]
      [(2)x7]
      =14

      These are some of the things i went over:
      • Rational and Irrational Numbers
        Symbols and terminology
        Axioms of Addition and Multiplication
        The Identity Element of Addition and Multiplication
        Addition and Multiplicative Inverse and Reciprocal
        Grouping Symbols
        and Order of Operation.


      Where should i go from there?
      The_Wolf
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