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(p-2)(p-3)=(p-4)(p-6)
We move all terms to the left:
(p-2)(p-3)-((p-4)(p-6))=0
We multiply parentheses ..
(+p^2-3p-2p+6)-((p-4)(p-6))=0
We calculate terms in parentheses: -((p-4)(p-6)), so:We get rid of parentheses
(p-4)(p-6)
We multiply parentheses ..
(+p^2-6p-4p+24)
We get rid of parentheses
p^2-6p-4p+24
We add all the numbers together, and all the variables
p^2-10p+24
Back to the equation:
-(p^2-10p+24)
p^2-p^2-3p-2p+10p+6-24=0
We add all the numbers together, and all the variables
5p-18=0
We move all terms containing p to the left, all other terms to the right
5p=18
p=18/5
p=3+3/5
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