(2x+4)/(3x-1)=1/2

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Solution for (2x+4)/(3x-1)=1/2 equation: 


D( x )

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

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

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

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

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

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

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

x+9 = 0

(x+9)/(2*(3*x-1)) = 0

(x+9)/(2*(3*x-1)) = 0 // * 2*(3*x-1)

x+9 = 0

x+9 = 0 // - 9

x = -9

x = -9

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