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Math Help - Simple algebra equations

  1. #1
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    Simple algebra equations

    For some reason, I'm having trouble understanding how this is done...

    -(y-1)^2 = y-1
    -(y-1) - (y-1)^2 = 0
    -(y-1)(1+y-1) = 0
    (1-y)y = 0

    y=0, x=-1 or y=1, x=0

    Could someone explain to me how that is possible?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by pakman View Post
    For some reason, I'm having trouble understanding how this is done...

    -(y-1)^2 = y-1
    -(y-1) - (y-1)^2 = 0
    -(y-1)(1+y-1) = 0
    (1-y)y = 0

    y=0, x=-1 or y=1, x=0

    Could someone explain to me how that is possible?
    -(y-1)^2 = y-1 ..................we begin here
    -(y-1) - (y-1)^2 = 0 ..........we subtract (y - 1) from both sides
    -(y-1)(1+y-1) = 0 .............we factor out the common -(y - 1)
    (1-y)y = 0 ........................we simplify

    now since (1 -y) and y multiplied gives zero, one or the other must be zero

    so 1 - y = 0 or y = 0

    => y = 1, y = 0

    got it?
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