(2p-2/p)(6p^2/8p-8)

Solution for (2p-2/p)(6p^2/8p-8) equation:

D( p )

p = 0

p = 0

p = 0

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

(2*p-(2/p))*(p*((6*p^2)/8)-8) = 0

(2*p-2*p^-1)*(p*((6*p^2)/8)-8) = 0

(2*p-2*p^-1)*(3/4*p^3-8) = 0

2*p-2*p^-1 = 0

2*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

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

2*p^-1*(p-1)*(p+1)*(3/4*p^3-8) = 0

( 2*p^-1 )

2*p^-1 = 0 // : 2

p^-1 = 0

p należy do O

( 3/4*p^3-8 )

3/4*p^3 = 8 // : 3/4

p^3 = 32/3

p^3 = 32/3 // ^ 1/3

p = (32/3)^(1/3)

( p+1 )

p+1 = 0 // - 1

p = -1

( p-1 )

p-1 = 0 // + 1

p = 1

p in { (32/3)^(1/3), -1, 1 }