9/(2x+1)=4/x

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Solution for 9/(2x+1)=4/x equation: 


D( x )

2*x+1 = 0

x = 0

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

x = 0

x = 0

x in (-oo:-1/2) U (-1/2:0) U (0:+oo)

9/(2*x+1) = 4/x // - 4/x

9/(2*x+1)-(4/x) = 0

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

9/(2*x+1)-4/x = 0

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

9*x-4*(2*x+1) = 0

x-4 = 0

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

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

x-4 = 0

x-4 = 0 // + 4

x = 4

x = 4

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