(3p^2-8p-3)(3p^2+8p-3)/(p^2-9)(3p^2+7p+2)

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Solution for (3p^2-8p-3)(3p^2+8p-3)/(p^2-9)(3p^2+7p+2) equation: 


D( p )

p^2-9 = 0

p^2-9 = 0

p^2-9 = 0

1*p^2 = 9 // : 1

p^2 = 9

p^2 = 9 // ^ 1/2

abs(p) = 3

p = 3 or p = -3

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

(((3*p^2-(8*p)-3)*(3*p^2+8*p-3))/(p^2-9))*(3*p^2+7*p+2) = 0

(((3*p^2-8*p-3)*(3*p^2+8*p-3))/(p^2-9))*(3*p^2+7*p+2) = 0

((3*p^2-8*p-3)*(3*p^2+8*p-3)*(3*p^2+7*p+2))/(p^2-9) = 0

3*p^2-8*p-3 = 0

3*p^2-8*p-3 = 0

DELTA = (-8)^2-(-3*3*4)

DELTA = 100

DELTA > 0

p = (100^(1/2)+8)/(2*3) or p = (8-100^(1/2))/(2*3)

p = 3 or p = -1/3

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

3*p^2+8*p-3 = 0

3*p^2+8*p-3 = 0

DELTA = 8^2-(-3*3*4)

DELTA = 100

DELTA > 0

p = (100^(1/2)-8)/(2*3) or p = (-100^(1/2)-8)/(2*3)

p = 1/3 or p = -3

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

3*p^2+7*p+2 = 0

3*p^2+7*p+2 = 0

DELTA = 7^2-(2*3*4)

DELTA = 25

DELTA > 0

p = (25^(1/2)-7)/(2*3) or p = (-25^(1/2)-7)/(2*3)

p = -1/3 or p = -2

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

((p+1/3)^2*(p-3)*(p+3)*(p-1/3)*(p+2))/(p^2-9) = 0

( p+1/3 )

p+1/3 = 0 // - 1/3

p = -1/3

( p+2 )

p+2 = 0 // - 2

p = -2

( p+3 )

p+3 = 0 // - 3

p = -3

( p-1/3 )

p-1/3 = 0 // + 1/3

p = 1/3

( p-3 )

p-3 = 0 // + 3

p = 3

p in { -3} 

p in { 3} 

p in { -1/3, -1/3, -2, 1/3 }

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