5/(3p)+2/3=(5+p)/(2p)

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Solution for 5/(3p)+2/3=(5+p)/(2p) equation:


D( p )

3*p = 0

2*p = 0

3*p = 0

3*p = 0

3*p = 0 // : 3

p = 0

2*p = 0

2*p = 0

2*p = 0 // : 2

p = 0

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

5/(3*p)+2/3 = (p+5)/(2*p) // - (p+5)/(2*p)

5/(3*p)-((p+5)/(2*p))+2/3 = 0

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

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

2*2*3*p*p-1*3*3*p*(p+5)+2*3*5*p = 0

12*p^2-9*p^2-15*p = 0

3*p^2-15*p = 0

3*p^2-15*p = 0

3*p*(p-5) = 0

p-5 = 0 // + 5

p = 5

3*p*(p-5) = 0

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

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

3*p*(p-5) = 0

( 3*p )

3*p = 0 // : 3

p = 0

( p-5 )

p-5 = 0 // + 5

p = 5

p in { 0}

p = 5

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