(2X+4)/5X-(1)/x=7/20

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Solution for (2X+4)/5X-(1)/x=7/20 equation:


D( x )

x = 0

x = 0

x = 0

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

X*((2*X+4)/5)-(1/x) = 7/20 // - 7/20

X*((2*X+4)/5)-(1/x)-(7/20) = 0

X*((2*X+4)/5)-x^-1-7/20 = 0

(X*(2*X+4))/5-1/x-7/20 = 0

(20*X*x*(2*X+4))/(5*20*x)+(-1*5*20)/(5*20*x)+(-7*5*x)/(5*20*x) = 0

20*X*x*(2*X+4)-7*5*x-1*5*20 = 0

40*X^2*x+80*X*x-35*x-100 = 0

40*X^2*x+80*X*x-35*x-100 = 0

5*(8*X^2*x+16*X*x-7*x-20) = 0

-7*x-20 = 0 // + 20

-7*x = 20 // : -7

x = 20/(-7)

x = -20/7

5*(x+20/7) = 0

(5*(x+20/7))/(5*20*x) = 0

(5*(x+20/7))/(5*20*x) = 0 // * 5*20*x

5*(x+20/7) = 0

x+20/7 = 0 // - 20/7

x = -20/7

x = -20/7

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