((4)/(x+2))+((3)/(x+5))=((7)/(x+4))

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Solution for ((4)/(x+2))+((3)/(x+5))=((7)/(x+4)) equation: 


D( x )

x+5 = 0

x+4 = 0

x+2 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-5) U (-5:-4) U (-4:-2) U (-2:+oo)

4/(x+2)+3/(x+5) = 7/(x+4) // - 7/(x+4)

4/(x+2)+3/(x+5)-(7/(x+4)) = 0

4/(x+2)+3/(x+5)-7*(x+4)^-1 = 0

4/(x+2)+3/(x+5)-7/(x+4) = 0

(4*(x+5)*(x+4))/((x+2)*(x+5)*(x+4))+(3*(x+2)*(x+4))/((x+2)*(x+5)*(x+4))+(-7*(x+2)*(x+5))/((x+2)*(x+5)*(x+4)) = 0

4*(x+5)*(x+4)+3*(x+2)*(x+4)-7*(x+2)*(x+5) = 0

7*x^2-7*x^2+54*x-49*x-70+104 = 0

5*x+34 = 0

(5*x+34)/((x+2)*(x+5)*(x+4)) = 0

(5*x+34)/((x+2)*(x+5)*(x+4)) = 0 // * (x+2)*(x+5)*(x+4)

5*x+34 = 0

5*x+34 = 0 // - 34

5*x = -34 // : 5

x = -34/5

x = -34/5

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