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

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


D( x )

x = 0

x+3 = 0

x = 0

x = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:0) U (0:+oo)

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

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

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

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

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

-x^2-8*x-21 = 0

-x^2-8*x-21 = 0

-1*(x^2+8*x+21) = 0

x^2+8*x+21 = 0

DELTA = 8^2-(1*4*21)

DELTA = -20

DELTA < 0

-1 = 0

-1/(x*(x+3)) = 0

-1/(x*(x+3)) = 0 // * x*(x+3)

-1 = 0

x belongs to the empty set

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