8/(7x+28)=8/(x+4)-2/7

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Solution for 8/(7x+28)=8/(x+4)-2/7 equation: 


D( x )

x+4 = 0

7*x+28 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

7*x+28 = 0

7*x+28 = 0

7*x+28 = 0 // - 28

7*x = -28 // : 7

x = -28/7

x = -4

x in (-oo:-4) U (-4:+oo)

8/(7*x+28) = 8/(x+4)-(2/7) // - 8/(x+4)-(2/7)

8/(7*x+28)-(8/(x+4))+2/7 = 0

8/(7*x+28)-8*(x+4)^-1+2/7 = 0

8/(7*x+28)-8/(x+4)+2/7 = 0

(7*8*(x+4))/(7*(7*x+28)*(x+4))+(-8*7*(7*x+28))/(7*(7*x+28)*(x+4))+(2*(7*x+28)*(x+4))/(7*(7*x+28)*(x+4)) = 0

7*8*(x+4)-8*7*(7*x+28)+2*(7*x+28)*(x+4) = 0

14*x^2-336*x+112*x-1344+224 = 0

14*x^2-224*x-1120 = 0

14*x^2-224*x-1120 = 0

14*(x^2-16*x-80) = 0

x^2-16*x-80 = 0

DELTA = (-16)^2-(-80*1*4)

DELTA = 576

DELTA > 0

x = (576^(1/2)+16)/(1*2) or x = (16-576^(1/2))/(1*2)

x = 20 or x = -4

14*(x+4)*(x-20) = 0

(14*(x+4)*(x-20))/(7*(7*x+28)*(x+4)) = 0

(14*(x+4)*(x-20))/(7*(7*x+28)*(x+4)) = 0 // * 7*(7*x+28)*(x+4)

14*(x+4)*(x-20) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-20 )

x-20 = 0 // + 20

x = 20

x in { -4} 

x = 20

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