(2/(j^2+8j))+((2j)/(j+8))-(1/(3j))

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Solution for (2/(j^2+8j))+((2j)/(j+8))-(1/(3j)) equation:


D( j )

j+8 = 0

3*j = 0

j^2+8*j = 0

j+8 = 0

j+8 = 0

j+8 = 0 // - 8

j = -8

3*j = 0

3*j = 0

3*j = 0 // : 3

j = 0

j^2+8*j = 0

j^2+8*j = 0

j^2+8*j = 0

DELTA = 8^2-(0*1*4)

DELTA = 64

DELTA > 0

j = (64^(1/2)-8)/(1*2) or j = (-64^(1/2)-8)/(1*2)

j = 0 or j = -8

j in (-oo:-8) U (-8:0) U (0:+oo)

2/(j^2+8*j)+(2*j)/(j+8)-(1/(3*j)) = 0

2/(j^2+8*j)+(2*j)/(j+8)+(-1/3)*j^-1 = 0

2/(j^2+8*j)+(2*j)/(j+8)-1/(3*j) = 0

j^2+8*j = 0

j^2+8*j = 0

j*(j+8) = 0

j+8 = 0 // - 8

j = -8

j*(j+8) = 0

2/(j*(j+8))+(2*j)/(j+8)-1/(3*j) = 0

(2*3*j)/(3*j*j*(j+8))+(2*3*j*j*j)/(3*j*j*(j+8))+(-1*j*(j+8))/(3*j*j*(j+8)) = 0

2*3*j*j*j-1*j*(j+8)+2*3*j = 0

6*j^3-j^2+6*j-8*j = 0

6*j^3-j^2-2*j = 0

6*j^3-j^2-2*j = 0

j*(6*j^2-j-2) = 0

6*j^2-j-2 = 0

DELTA = (-1)^2-(-2*4*6)

DELTA = 49

DELTA > 0

j = (49^(1/2)+1)/(2*6) or j = (1-49^(1/2))/(2*6)

j = 2/3 or j = -1/2

j*(j+1/2)*(j-2/3) = 0

(j*(j+1/2)*(j-2/3))/(3*j*j*(j+8)) = 0

(j*(j+1/2)*(j-2/3))/(3*j*j*(j+8)) = 0 // * 3*j*j*(j+8)

j*(j+1/2)*(j-2/3) = 0

( j+1/2 )

j+1/2 = 0 // - 1/2

j = -1/2

( j-2/3 )

j-2/3 = 0 // + 2/3

j = 2/3

( j )

j = 0

j in { 0}

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

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