SOLUTION: Hello could you pls help Find the values of p for which the equation {{{ (1-2p)x^2+8px-(2+8p)=0 }}} has one solution.

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Question 1019658: Hello could you pls help
Find the values of p for which the equation +%281-2p%29x%5E2%2B8px-%282%2B8p%29=0+ has one solution.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
For the quadratic equation to have only one solution, the discriminant
b%5E2+-+4ac must be equal to 0.
Hence,
64p%5E2+-+4%281-2p%29%28-%282%2B8p%29%29+=+0
<==> 64p%5E2+%2B8%281-2p%29%281%2B4p%29+=+0
<==> 8p%5E2+%2B%281-2p%29%281%2B4p%29+=+0
<==> 8p%5E2+%2B+1%2B4p-2p-8p%5E2+=+0
==> 1+2p = 0
==> p = -1/2.