3/(2x-4)-5/(3x-6)=3/5

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Solution for 3/(2x-4)-5/(3x-6)=3/5 equation:


D( x )

2*x-4 = 0

3*x-6 = 0

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0 // + 4

2*x = 4 // : 2

x = 4/2

x = 2

3*x-6 = 0

3*x-6 = 0

3*x-6 = 0 // + 6

3*x = 6 // : 3

x = 6/3

x = 2

x in (-oo:2) U (2:+oo)

3/(2*x-4)-(5/(3*x-6)) = 3/5 // - 3/5

3/(2*x-4)-(5/(3*x-6))-(3/5) = 0

3/(2*x-4)-5*(3*x-6)^-1-3/5 = 0

3/(2*x-4)-5/(3*x-6)-3/5 = 0

(3*5*(3*x-6))/(5*(2*x-4)*(3*x-6))+(-5*5*(2*x-4))/(5*(2*x-4)*(3*x-6))+(-3*(2*x-4)*(3*x-6))/(5*(2*x-4)*(3*x-6)) = 0

3*5*(3*x-6)-5*5*(2*x-4)-3*(2*x-4)*(3*x-6) = 0

72*x-18*x^2-5*x-72+10 = 0

67*x-18*x^2-62 = 0

67*x-18*x^2-62 = 0

67*x-18*x^2-62 = 0

DELTA = 67^2-(-62*(-18)*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-67)/(-18*2) or x = (-25^(1/2)-67)/(-18*2)

x = 31/18 or x = 2

(x-31/18)*(x-2) = 0

((x-31/18)*(x-2))/(5*(2*x-4)*(3*x-6)) = 0

((x-31/18)*(x-2))/(5*(2*x-4)*(3*x-6)) = 0 // * 5*(2*x-4)*(3*x-6)

(x-31/18)*(x-2) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x-31/18 )

x-31/18 = 0 // + 31/18

x = 31/18

x in { 2}

x = 31/18

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