(2)/(x)+(6)/(4x)=(4)/(x-2)

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


D( x )

x-2 = 0

x = 0

4*x = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 0

x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

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

2/x+6/(4*x) = 4/(x-2) // - 4/(x-2)

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

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

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

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

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

3*x^2-4*x^2-8*x-6*x = 0

-x^2-14*x = 0

-x^2-14*x = 0

-x*(x+14) = 0

x+14 = 0 // - 14

x = -14

-x*(x+14) = 0

(-x*(x+14))/(2*x*x*(x-2)) = 0

(-x*(x+14))/(2*x*x*(x-2)) = 0 // * 2*x*x*(x-2)

-x*(x+14) = 0

( -x )

-1*x = 0 // : -1

x = 0

( x+14 )

x+14 = 0 // - 14

x = -14

x in { 0}

x = -14

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