14/(2x+1)=56/(x-4)

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Solution for 14/(2x+1)=56/(x-4) equation:


D( x )

2*x+1 = 0

x-4 = 0

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:-1/2) U (-1/2:4) U (4:+oo)

14/(2*x+1) = 56/(x-4) // - 56/(x-4)

14/(2*x+1)-(56/(x-4)) = 0

14/(2*x+1)-56*(x-4)^-1 = 0

14/(2*x+1)-56/(x-4) = 0

(14*(x-4))/((2*x+1)*(x-4))+(-56*(2*x+1))/((2*x+1)*(x-4)) = 0

14*(x-4)-56*(2*x+1) = 0

-98*x-112 = 0

(-98*x-112)/((2*x+1)*(x-4)) = 0

(-98*x-112)/((2*x+1)*(x-4)) = 0 // * (2*x+1)*(x-4)

-98*x-112 = 0

-98*x-112 = 0 // + 112

-98*x = 112 // : -98

x = 112/(-98)

x = -8/7

x = -8/7

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