9/(7x+14)=3/(x+2)-4/7

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Solution for 9/(7x+14)=3/(x+2)-4/7 equation: 


D( x )

x+2 = 0

7*x+14 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

7*x+14 = 0

7*x+14 = 0

7*x+14 = 0 // - 14

7*x = -14 // : 7

x = -14/7

x = -2

x in (-oo:-2) U (-2:+oo)

9/(7*x+14) = 3/(x+2)-(4/7) // - 3/(x+2)-(4/7)

9/(7*x+14)-(3/(x+2))+4/7 = 0

9/(7*x+14)-3*(x+2)^-1+4/7 = 0

9/(7*x+14)-3/(x+2)+4/7 = 0

(7*9*(x+2))/(7*(7*x+14)*(x+2))+(-3*7*(7*x+14))/(7*(7*x+14)*(x+2))+(4*(7*x+14)*(x+2))/(7*(7*x+14)*(x+2)) = 0

7*9*(x+2)-3*7*(7*x+14)+4*(7*x+14)*(x+2) = 0

28*x^2-84*x+112*x-168+112 = 0

28*x^2+28*x-56 = 0

28*x^2+28*x-56 = 0

28*(x^2+x-2) = 0

x^2+x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)

x = 1 or x = -2

28*(x+2)*(x-1) = 0

(28*(x+2)*(x-1))/(7*(7*x+14)*(x+2)) = 0

(28*(x+2)*(x-1))/(7*(7*x+14)*(x+2)) = 0 // * 7*(7*x+14)*(x+2)

28*(x+2)*(x-1) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -2} 

x = 1

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