4+2/u-(3u)/(u+5)

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Solution for 4+2/u-(3u)/(u+5) equation: 


D( u )

u = 0

u+5 = 0

u = 0

u = 0

u+5 = 0

u+5 = 0

u+5 = 0 // - 5

u = -5

u in (-oo:-5) U (-5:0) U (0:+oo)

2/u-((3*u)/(u+5))+4 = 0

2/u-3*u*(u+5)^-1+4 = 0

(-3*u)/(u+5)+2/u+4 = 0

(-3*u*u)/(u*(u+5))+(2*(u+5))/(u*(u+5))+(4*u*(u+5))/(u*(u+5)) = 0

2*(u+5)+4*u*(u+5)-3*u*u = 0

4*u^2-3*u^2+2*u+20*u+10 = 0

u^2+22*u+10 = 0

u^2+22*u+10 = 0

u^2+22*u+10 = 0

DELTA = 22^2-(1*4*10)

DELTA = 444

DELTA > 0

u = (444^(1/2)-22)/(1*2) or u = (-444^(1/2)-22)/(1*2)

u = (2*111^(1/2)-22)/2 or u = (-2*111^(1/2)-22)/2

(u-((-2*111^(1/2)-22)/2))*(u-((2*111^(1/2)-22)/2)) = 0

((u-((-2*111^(1/2)-22)/2))*(u-((2*111^(1/2)-22)/2)))/(u*(u+5)) = 0

((u-((-2*111^(1/2)-22)/2))*(u-((2*111^(1/2)-22)/2)))/(u*(u+5)) = 0 // * u*(u+5)

(u-((-2*111^(1/2)-22)/2))*(u-((2*111^(1/2)-22)/2)) = 0

( u-((-2*111^(1/2)-22)/2) )

u-((-2*111^(1/2)-22)/2) = 0 // + (-2*111^(1/2)-22)/2

u = (-2*111^(1/2)-22)/2

( u-((2*111^(1/2)-22)/2) )

u-((2*111^(1/2)-22)/2) = 0 // + (2*111^(1/2)-22)/2

u = (2*111^(1/2)-22)/2

u in { (-2*111^(1/2)-22)/2, (2*111^(1/2)-22)/2 }

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