SOLUTION: Solve by completing the square. {{{4p^2+6p+3=0}}}

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Question 373550: Solve by completing the square.
4p%5E2%2B6p%2B3=0
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
4p%5E2+%2B+6p+%2B+3+=+0
4p%5E2+%2B+6p+=+-3
p%5E2+%2B+%283%2F2%29%2Ap+=+-3%2F4
Take 1/2 of the coefficient of p,
square it, and add to both sides
p%5E2+%2B+%283%2F2%29%2Ap+%2B+%283%2F4%29%5E2+=+-3%2F4+%2B+%283%2F4%29%5E2
%28p+%2B+3%2F4%29%5E2+=+9%2F16+-+12%2F16
%28p+%2B+3%2F4%29%5E2+=+%28sqrt%283%29%2Ai%2F4%29%5E2
p+%2B+3%2F4+=+sqrt%283%29%2Ai%2F4
p+=+%28-3+%2B+sqrt%283%29%2Ai%29%2F4
and
p+=+%28-3+-sqrt%283%29%2Ai%29%2F4