(3p-3/p)(5p^2/7p-7)

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Solution for (3p-3/p)(5p^2/7p-7) equation:


D( p )

p = 0

p = 0

p = 0

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

(3*p-(3/p))*(p*((5*p^2)/7)-7) = 0

(3*p-3*p^-1)*(p*((5*p^2)/7)-7) = 0

(3*p-3*p^-1)*(5/7*p^3-7) = 0

3*p-3*p^-1 = 0

3*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

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

3*p^-1*(p-1)*(p+1)*(5/7*p^3-7) = 0

( 3*p^-1 )

3*p^-1 = 0 // : 3

p^-1 = 0

p naleu017Cy do O

( 5/7*p^3-7 )

5/7*p^3 = 7 // : 5/7

p^3 = 49/5

p^3 = 49/5 // ^ 1/3

p = (49/5)^(1/3)

( p+1 )

p+1 = 0 // - 1

p = -1

( p-1 )

p-1 = 0 // + 1

p = 1

p in { (49/5)^(1/3), -1, 1 }

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