(5x+1)/x*(4y+3)/4=20

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Solution for (5x+1)/x*(4y+3)/4=20 equation: 


D( x )

x = 0

x = 0

x = 0

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

(((5*x+1)/x)*(4*y+3))/4 = 20 // - 20

(((5*x+1)/x)*(4*y+3))/4-20 = 0

((5*x+1)*(4*y+3))/(4*x)-20 = 0

((5*x+1)*(4*y+3))/(4*x)+(-20*4*x)/(4*x) = 0

(5*x+1)*(4*y+3)-20*4*x = 0

20*x*y-65*x+4*y+3 = 0

(20*x*y-65*x+4*y+3)/(4*x) = 0

(20*x*y-65*x+4*y+3)/(4*x) = 0 // * 4*x

20*x*y-65*x+4*y+3 = 0

4*y-65*x+3 = 0 // - 4*y+3

-65*x = -(4*y+3) // : -65

x = (-(4*y+3))/(-65)

x = (4*y+3)/65

x = (4*y+3)/65

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