-(3u/(u+6))=9/(u^2+2u-24)

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Solution for -(3u/(u+6))=9/(u^2+2u-24) equation: 


D( u )

u+6 = 0

u^2+2*u-24 = 0

u+6 = 0

u+6 = 0

u+6 = 0 // - 6

u = -6

u^2+2*u-24 = 0

u^2+2*u-24 = 0

u^2+2*u-24 = 0

DELTA = 2^2-(-24*1*4)

DELTA = 100

DELTA > 0

u = (100^(1/2)-2)/(1*2) or u = (-100^(1/2)-2)/(1*2)

u = 4 or u = -6

u in (-oo:-6) U (-6:4) U (4:+oo)

-((3*u)/(u+6)) = 9/(u^2+2*u-24) // - 9/(u^2+2*u-24)

-((3*u)/(u+6))-(9/(u^2+2*u-24)) = 0

-3*u*(u+6)^-1-9*(u^2+2*u-24)^-1 = 0

(-3*u)/(u+6)-9/(u^2+2*u-24) = 0

u^2+2*u-24 = 0

u^2+2*u-24 = 0

u^2+2*u-24 = 0

DELTA = 2^2-(-24*1*4)

DELTA = 100

DELTA > 0

u = (100^(1/2)-2)/(1*2) or u = (-100^(1/2)-2)/(1*2)

u = 4 or u = -6

(u+6)*(u-4) = 0

(-3*u)/(u+6)-9/((u+6)*(u-4)) = 0

(-3*u)/(u+6)-9/(u+6) = 0

-3*u-9 = 0

(-3*u-9)/(u+6) = 0

(-3*u-9)/(u+6) = 0 // * u+6

-3*u-9 = 0

-3*u-9 = 0 // + 9

-3*u = 9 // : -3

u = 9/(-3)

u = -3

u = -3

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