(2p^2-7p-15)/(6p-9)

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Solution for (2p^2-7p-15)/(6p-9) equation: 


D( p )

6*p-9 = 0

6*p-9 = 0

6*p-9 = 0

6*p-9 = 0 // + 9

6*p = 9 // : 6

p = 9/6

p = 3/2

p in (-oo:3/2) U (3/2:+oo)

(2*p^2-(7*p)-15)/(6*p-9) = 0

(2*p^2-7*p-15)/(6*p-9) = 0

2*p^2-7*p-15 = 0

2*p^2-7*p-15 = 0

DELTA = (-7)^2-(-15*2*4)

DELTA = 169

DELTA > 0

p = (169^(1/2)+7)/(2*2) or p = (7-169^(1/2))/(2*2)

p = 5 or p = -3/2

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

((p+3/2)*(p-5))/(6*p-9) = 0

( p+3/2 )

p+3/2 = 0 // - 3/2

p = -3/2

( p-5 )

p-5 = 0 // + 5

p = 5

p in { -3/2, 5 }

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