360/(x-4)=(360/x)-3

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Solution for 360/(x-4)=(360/x)-3 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)

360/(x-4) = 360/x-3 // - 360/x-3

360/(x-4)-(360/x)+3 = 0

360/(x-4)-360*x^-1+3 = 0

360/(x-4)-360/x+3 = 0

(360*x)/(x*(x-4))+(-360*(x-4))/(x*(x-4))+(3*x*(x-4))/(x*(x-4)) = 0

3*x*(x-4)-360*(x-4)+360*x = 0

3*x^2-12*x+1440 = 0

3*x^2-12*x+1440 = 0

3*(x^2-4*x+480) = 0

x^2-4*x+480 = 0

DELTA = (-4)^2-(1*4*480)

DELTA = -1904

DELTA < 0

3 = 0

3/(x*(x-4)) = 0

3/(x*(x-4)) = 0 // * x*(x-4)

3 = 0

3 = 0

x belongs to the empty set

x belongs to the empty set

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