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Math Help - Solve X cranking me. Any help?

  1. #1
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    Solve X cranking me. Any help?

    Simple solve for X doesnt seem so simple
    Showing the steps would be nice
    8(x 1) -2(7x + 10) 16 = 0
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  2. #2
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    8(x - 1) - 2(7x + 10) - 16 = 0

    <br />
8x - 8 - 14x - 20 - 16 = 0

    <br />
- 6x - 44 = 0

    <br />
- 6x = 44<br />

    x =  - \frac{{44}} {6}

    <br />
x =  - 7\frac{1} {3} =  - 7.\bar 3
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by xifentoozlerix View Post
    8(x - 1) - 2(7x + 10) - 16 = 0

    <br />
8x - 8 - 14x - 20 - 16 = 0

    <br />
- 6x - 44 = 0

    <br />
- 6x = 44<br />

    x =  - \frac{{44}} {6}

    <br />
x =  - 7\frac{1} {3} =  - 7.\bar 3
    The -\frac{44}{6} = -\frac{22}{3} answer is likely preferable over the decimal or mixed fraction form if you are in a Math class.

    -Dan
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  4. #4
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    Quote Originally Posted by topsquark View Post
    The -\frac{44}{6} = -\frac{22}{3} answer is likely preferable over the decimal or mixed fraction form if you are in a Math class.

    -Dan
    You are correct. I got too "simplify happy."
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  5. #5
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    Mind checking a few problems and how to approach?

    simplify without negative exponents
    (2x^2y^-2z^-1x^-1)^-3

    Simplify
    (3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)
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  6. #6
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    Mind checking a few problems and how to approach?

    simplify without negative exponents
    (2x^2y^-2z^-1x^-1)^-3

    Simplify
    (3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)

    expand
    (2e^x+3)(2e^x-3)
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  7. #7
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    Quote Originally Posted by dude View Post
    simplify without negative exponents
    (2x^2y^-2z^-1x^-1)^-3

    Simplify
    (3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)

    expand
    (2e^x+3)(2e^x-3)
    Since it is only one term, you can multiply each factor's exponent by -3:

    (2x^2 y^{ - 2} z^{ - 1} x^{ - 1} )^{ - 3}  = 2^{ - 3} x^{ - 6} y^6 z^3 x^3  = \frac{{x^{ - 3} y^6 z^3 }}<br />
{8} = \frac{{y^6 z^3 }}<br />
{{8x^3 }}<br />


    (3x^3  + 6x^2  + 2x - 4) - (2x^3  - 4x^2  - 2x + 4) \to 3x^3  + 6x^2  + 2x - 4 - 2x^3  + 4x^2  + 2x - 4  = x^3  + 10x^2  + 4x - 8


    (2e^x  + 3)(2e^x  - 3) = \left( {2e^x } \right)^2  - 6e^x  + 6e^x  - 9 = 4e^{2x}  - 9
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  8. #8
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by dude View Post
    simplify without negative exponents
    (2x^2y^-2z^-1x^-1)^-3

    Simplify
    (3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)
    Quote Originally Posted by dude View Post
    simplify without negative exponents
    (2x^2y^-2z^-1x^-1)^-3

    Simplify
    (3x^3+6x^2+2x-4)-(2x^3-4x^2-2x+4)

    expand
    (2e^x+3)(2e^x-3)
    New problems need to go in new threads.

    -Dan
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  9. #9
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    Man the steps help

    How about these:

    expand:
    (2x^2-1)^2

    Factor completely (factor common first)
    y^46y^3+9y^2

    factor/simplify lowest terms
    9x^2-1 * x^2-1
    __x-1 ___6x^2-2x


    1 - 1
    x_ x+2
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