x/(x-250)=1440/(1440-x)

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Solution for x/(x-250)=1440/(1440-x) equation: 


D( x )

x-250 = 0

1440-x = 0

x-250 = 0

x-250 = 0

x-250 = 0 // + 250

x = 250

1440-x = 0

1440-x = 0

1440-x = 0 // - 1440

-x = -1440 // * -1

x = 1440

x in (-oo:250) U (250:1440) U (1440:+oo)

x/(x-250) = 1440/(1440-x) // - 1440/(1440-x)

x/(x-250)-(1440/(1440-x)) = 0

x/(x-250)-1440*(1440-x)^-1 = 0

x/(x-250)-1440/(1440-x) = 0

(x*(1440-x))/((x-250)*(1440-x))+(-1440*(x-250))/((x-250)*(1440-x)) = 0

x*(1440-x)-1440*(x-250) = 0

360000-x^2 = 0

(360000-x^2)/((x-250)*(1440-x)) = 0

(360000-x^2)/((x-250)*(1440-x)) = 0 // * (x-250)*(1440-x)

360000-x^2 = 0

-1*x^2 = -360000 // : -1

x^2 = 360000

x^2 = 360000 // ^ 1/2

abs(x) = 600

x = 600 or x = -600

x in { 600, -600 }

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