10/(2x+5)-6/(3x-1)=0

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Solution for 10/(2x+5)-6/(3x-1)=0 equation:


D( x )

3*x-1 = 0

2*x+5 = 0

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

2*x+5 = 0

2*x+5 = 0

2*x+5 = 0 // - 5

2*x = -5 // : 2

x = -5/2

x in (-oo:-5/2) U (-5/2:1/3) U (1/3:+oo)

10/(2*x+5)-(6/(3*x-1)) = 0

10/(2*x+5)-6*(3*x-1)^-1 = 0

10/(2*x+5)-6/(3*x-1) = 0

(10*(3*x-1))/((2*x+5)*(3*x-1))+(-6*(2*x+5))/((2*x+5)*(3*x-1)) = 0

10*(3*x-1)-6*(2*x+5) = 0

18*x-40 = 0

(18*x-40)/((2*x+5)*(3*x-1)) = 0

(18*x-40)/((2*x+5)*(3*x-1)) = 0 // * (2*x+5)*(3*x-1)

18*x-40 = 0

18*x-40 = 0 // + 40

18*x = 40 // : 18

x = 40/18

x = 20/9

x = 20/9

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