4x/(x+5)-8/(x-1)=4

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Solution for 4x/(x+5)-8/(x-1)=4 equation:


D( x )

x+5 = 0

x-1 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:-5) U (-5:1) U (1:+oo)

(4*x)/(x+5)-(8/(x-1)) = 4 // - 4

(4*x)/(x+5)-(8/(x-1))-4 = 0

(4*x)/(x+5)-8*(x-1)^-1-4 = 0

(4*x)/(x+5)-8/(x-1)-4 = 0

(4*x*(x-1))/((x+5)*(x-1))+(-8*(x+5))/((x+5)*(x-1))+(-4*(x+5)*(x-1))/((x+5)*(x-1)) = 0

4*x*(x-1)-8*(x+5)-4*(x+5)*(x-1) = 0

4*x^2-4*x^2-12*x-16*x-40+20 = 0

-28*x-20 = 0

(-28*x-20)/((x+5)*(x-1)) = 0

(-28*x-20)/((x+5)*(x-1)) = 0 // * (x+5)*(x-1)

-28*x-20 = 0

-28*x-20 = 0 // + 20

-28*x = 20 // : -28

x = 20/(-28)

x = -5/7

x = -5/7

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