SOLUTION: Solve. -200p+35000=-p^2+400p-20000. Please help

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Question 118511: Solve.
-200p+35000=-p^2+400p-20000. Please help
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
-200p%2B35000=-p%5E2%2B400p-20000
First, put the quadratic into standard form:
-p%5E2%2B400p%2B200p-20000-35000=0
Simplify:
-p%5E2%2B600p-55000=0
p%5E2-600p%2B55000=0
Apply the quadratic formula:
p=%28600%2B-sqrt%28%28-600%29%5E2-%284%29%2855000%29%29%29%2F2
p=%28600%2B-sqrt%28360000-220000%29%29%2F2
p=%28600%2B-sqrt%28140000%29%29%2F2
p=%28600%2B-374.17%29%2F2
highlight%28p=487.08%29
highlight%28p=112.92%29
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Good Luck,
tutor_paul@yahoo.com