SOLUTION: 2p^2+8p=-3

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Question 337763: 2p^2+8p=-3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2p%5E2%2B8p=-3 Start with the given equation.


2p%5E2%2B8p%2B3=0 Add 3 to both sides.


Notice we have a quadratic equation in the form of ap%5E2%2Bbp%2Bc where a=2, b=8, and c=3


Let's use the quadratic formula to solve for p


p+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


p+=+%28-%288%29+%2B-+sqrt%28+%288%29%5E2-4%282%29%283%29+%29%29%2F%282%282%29%29 Plug in a=2, b=8, and c=3


p+=+%28-8+%2B-+sqrt%28+64-4%282%29%283%29+%29%29%2F%282%282%29%29 Square 8 to get 64.


p+=+%28-8+%2B-+sqrt%28+64-24+%29%29%2F%282%282%29%29 Multiply 4%282%29%283%29 to get 24


p+=+%28-8+%2B-+sqrt%28+40+%29%29%2F%282%282%29%29 Subtract 24 from 64 to get 40


p+=+%28-8+%2B-+sqrt%28+40+%29%29%2F%284%29 Multiply 2 and 2 to get 4.


p+=+%28-8+%2B-+2%2Asqrt%2810%29%29%2F%284%29 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


p+=+%28-8%2B2%2Asqrt%2810%29%29%2F%284%29 or p+=+%28-8-2%2Asqrt%2810%29%29%2F%284%29 Break up the expression.


p+=+%28-4%2Bsqrt%2810%29%29%2F%282%29 or p+=+%28-4-sqrt%2810%29%29%2F%282%29 Reduce.


So the answers are p+=+%28-4%2Bsqrt%2810%29%29%2F%282%29 or p+=+%28-4-sqrt%2810%29%29%2F%282%29


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim