4/(4x-6)=7/(4x-2)

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Solution for 4/(4x-6)=7/(4x-2) equation:


D( x )

4*x-6 = 0

4*x-2 = 0

4*x-6 = 0

4*x-6 = 0

4*x-6 = 0 // + 6

4*x = 6 // : 4

x = 6/4

x = 3/2

4*x-2 = 0

4*x-2 = 0

4*x-2 = 0 // + 2

4*x = 2 // : 4

x = 2/4

x = 1/2

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

4/(4*x-6) = 7/(4*x-2) // - 7/(4*x-2)

4/(4*x-6)-(7/(4*x-2)) = 0

4/(4*x-6)-7*(4*x-2)^-1 = 0

4/(4*x-6)-7/(4*x-2) = 0

(4*(4*x-2))/((4*x-6)*(4*x-2))+(-7*(4*x-6))/((4*x-6)*(4*x-2)) = 0

4*(4*x-2)-7*(4*x-6) = 0

34-12*x = 0

(34-12*x)/((4*x-6)*(4*x-2)) = 0

(34-12*x)/((4*x-6)*(4*x-2)) = 0 // * (4*x-6)*(4*x-2)

34-12*x = 0

34-12*x = 0 // - 34

-12*x = -34 // : -12

x = -34/(-12)

x = 17/6

x = 17/6

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