(7)/(x-3)=(8)/(2x)

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Solution for (7)/(x-3)=(8)/(2x) equation: 


D( x )

x-3 = 0

2*x = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:0) U (0:3) U (3:+oo)

7/(x-3) = 8/(2*x) // - 8/(2*x)

7/(x-3)-(8/(2*x)) = 0

7/(x-3)-4*x^-1 = 0

7/(x-3)-4/x = 0

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

7*x-4*(x-3) = 0

3*x+12 = 0

(3*x+12)/(x*(x-3)) = 0

(3*x+12)/(x*(x-3)) = 0 // * x*(x-3)

3*x+12 = 0

3*x+12 = 0 // - 12

3*x = -12 // : 3

x = -12/3

x = -4

x = -4

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