(24)/(x-4)=(80)/(x)

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Solution for (24)/(x-4)=(80)/(x) equation: 


D( x )

x = 0

x-4 = 0

x = 0

x = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:0) U (0:4) U (4:+oo)

24/(x-4) = 80/x // - 80/x

24/(x-4)-(80/x) = 0

24/(x-4)-80*x^-1 = 0

24/(x-4)-80/x = 0

(24*x)/(x*(x-4))+(-80*(x-4))/(x*(x-4)) = 0

24*x-80*(x-4) = 0

320-56*x = 0

(320-56*x)/(x*(x-4)) = 0

(320-56*x)/(x*(x-4)) = 0 // * x*(x-4)

320-56*x = 0

320-56*x = 0 // - 320

-56*x = -320 // : -56

x = -320/(-56)

x = 40/7

x = 40/7

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