((5p-5)/p)*((8p^2)/9p-9)

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Solution for ((5p-5)/p)*((8p^2)/9p-9) equation: 


D( p )

p = 0

p = 0

p = 0

p in (-oo:0) U (0:+oo)

((5*p-5)/p)*(p*((8*p^2)/9)-9) = 0

((5*p-5)*(8/9*p^3-9))/p = 0

( 5*p-5 )

5*p-5 = 0 // + 5

5*p = 5 // : 5

p = 5/5

p = 1

( 8/9*p^3-9 )

8/9*p^3 = 9 // : 8/9

p^3 = 81/8

p^3 = 81/8 // ^ 1/3

p = (81/8)^(1/3)

p in { 1, (81/8)^(1/3) }

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