7(p-2)/(p-7)(p-2)-4(p-7)/(p-7)(p-2)

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Solution for 7(p-2)/(p-7)(p-2)-4(p-7)/(p-7)(p-2) equation: 


D( p )

p-7 = 0

p-7 = 0

p-7 = 0

p-7 = 0 // + 7

p = 7

p in (-oo:7) U (7:+oo)

((7*(p-2))/(p-7))*(p-2)-(((4*(p-7))/(p-7))*(p-2)) = 0

((7*(p-2))/(p-7))*(p-2)-4*(p-2) = 0

(7*(p-2)^2)/(p-7)-4*(p-2) = 0

(7*(p-2)^2)/(p-7)+(-4*(p-2)*(p-7))/(p-7) = 0

7*(p-2)^2-4*(p-2)*(p-7) = 0

3*p^2+8*p-28 = 0

3*p^2+8*p-28 = 0

3*p^2+8*p-28 = 0

DELTA = 8^2-(-28*3*4)

DELTA = 400

DELTA > 0

p = (400^(1/2)-8)/(2*3) or p = (-400^(1/2)-8)/(2*3)

p = 2 or p = -14/3

(p+14/3)*(p-2) = 0

((p+14/3)*(p-2))/(p-7) = 0

((p+14/3)*(p-2))/(p-7) = 0 // * p-7

(p+14/3)*(p-2) = 0

( p+14/3 )

p+14/3 = 0 // - 14/3

p = -14/3

( p-2 )

p-2 = 0 // + 2

p = 2

p in { -14/3, 2 }

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