SOLUTION: Factoring to solve equations Solve: {{{ 4p(p-1) - 24 = 3p(p-2)}}}

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Question 372359: Factoring to solve equations
Solve:
+4p%28p-1%29+-+24+=+3p%28p-2%29
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's first expand this out. 4p(p-1) - 24 = 3p(p-2)
4p^2-4p-24 = 3p^2-6p
Subtract 3p^2 and add 6p to both sides to get:
p^2+2p-24=0
Now we can factor this to get:
(p+6)(p-4)=0
Solve for p and we get:
p=-6
p=4
Make sense?
RJ
www.math-unlock.com