(4p-4/p)*(9p-9/4p^2)

Solution for (4p-4/p)*(9p-9/4p^2) equation:

D( p )

p = 0

p = 0

p = 0

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

(4*p-(4/p))*(9*p-((9/4)*p^2)) = 0

(4*p-4*p^-1)*((-9/4)*p^2+9*p) = 0

(4*p-4*p^-1)*(9*p-9/4*p^2) = 0

4*p-4*p^-1 = 0

4*p^-1*(p^2-1) = 0

1*p^2 = 1 // : 1

p^2 = 1

p^2 = 1 // ^ 1/2

abs(p) = 1

p = 1 or p = -1

4*p^-1*(p-1)*(p+1) = 0

9*p-9/4*p^2 = 0

9*p*(1-1/4*p) = 0

1-1/4*p = 0 // - 1

-1/4*p = -1 // : -1/4

p = -1/(-1/4)

p = 4

9*p*(p-4) = 0

4*9*p^-1*p*(p-1)*(p+1)*(p-4) = 0

( 4*p^-1 )

4*p^-1 = 0 // : 4

p^-1 = 0

p należy do O

( 9*p )

9*p = 0 // : 9

p = 0

( p+1 )

p+1 = 0 // - 1

p = -1

( p-1 )

p-1 = 0 // + 1

p = 1

( p-4 )

p-4 = 0 // + 4

p = 4

p in { 0} 

p in { -1, 1, 4 }