4(x-5)/x=9y

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Solution for 4(x-5)/x=9y equation: 


D( x )

x = 0

x = 0

x = 0

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

(4*(x-5))/x = 9*y // - 9*y

(4*(x-5))/x-(9*y) = 0

(4*(x-5))/x-9*y = 0

(4*(x-5))/x+(-9*x*y)/x = 0

4*(x-5)-9*x*y = 0

4*x-9*x*y-20 = 0

4*x-9*x*y-20 = 0

-9*x*y-20 = 0 // + 20

-9*x*y = 20 // : -9*y

x = 20/(-9*y)

x+20/9*y^-1 = 0

(x+20/9*y^-1)/x = 0

(x+20/9*y^-1)/x = 0 // * x

x+20/9*y^-1 = 0

x+20/9*y^-1 = 0 // - 20/9*y^-1

x = -(20/9*y^-1)

x = -20/9*y^-1

x = -20/9*y^-1

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