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12 October, 20:49

Solve - 4x=10x^2-24x^3

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  1. 12 October, 21:04
    0
    Add 4x to both sides

    0=-24x³+10x²+4x

    factor out the - 2x from everybody

    0=-2x (12x²-5x-2)

    factor

    use ac method

    12 times - 2=-24

    what 2 numbers multiply to get - 24 and add to get - 5?

    -8 and 3

    0=-2x (12x²+3x-8x-2)

    0=-2x ((12x²+3x) + (-8x-2))

    0=-2x (3x (4x+1) - 2 (4x+1))

    0=-2x (3x-2) (4x+1)

    set each to zero

    0=-2x

    0=x

    0=3x-2

    2=3x

    2/3=x

    0=4x+1

    -1=4x

    -1/4=x

    x=-1/4 or x=0 or x=2/3
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