6-(5/(u+2))=(-6/(u-2))

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Solution for 6-(5/(u+2))=(-6/(u-2)) equation: 


D( u )

u-2 = 0

u+2 = 0

u-2 = 0

u-2 = 0

u-2 = 0 // + 2

u = 2

u+2 = 0

u+2 = 0

u+2 = 0 // - 2

u = -2

u in (-oo:-2) U (-2:2) U (2:+oo)

6-(5/(u+2)) = -6/(u-2) // + -6/(u-2)

6-(5/(u+2))-(-6/(u-2)) = 0

6*(u-2)^-1-5*(u+2)^-1+6 = 0

6/(u-2)-5/(u+2)+6 = 0

(-5*(u-2))/((u+2)*(u-2))+(6*(u+2))/((u+2)*(u-2))+(6*(u+2)*(u-2))/((u+2)*(u-2)) = 0

6*(u+2)-5*(u-2)+6*(u+2)*(u-2) = 0

6*u^2+u-24+22 = 0

6*u^2+u-2 = 0

6*u^2+u-2 = 0

6*u^2+u-2 = 0

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

DELTA = 49

DELTA > 0

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

u = 1/2 or u = -2/3

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

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

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

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

( u+2/3 )

u+2/3 = 0 // - 2/3

u = -2/3

( u-1/2 )

u-1/2 = 0 // + 1/2

u = 1/2

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

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