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

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


D( x )

x+4 = 0

x-3 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:-4) U (-4:3) U (3:+oo)

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

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

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

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

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

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

20-2*x = 0

(20-2*x)/((x-3)*(x+4)) = 0

(20-2*x)/((x-3)*(x+4)) = 0 // * (x-3)*(x+4)

20-2*x = 0

20-2*x = 0 // - 20

-2*x = -20 // : -2

x = -20/(-2)

x = 10

x = 10

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