(5x-7)/(2x)=(4/x)

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Solution for (5x-7)/(2x)=(4/x) equation: 


D( x )

x = 0

2*x = 0

x = 0

x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

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

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

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

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

(x*(5*x-7))/(2*x*x)+(-4*2*x)/(2*x*x) = 0

x*(5*x-7)-4*2*x = 0

5*x^2-15*x = 0

5*x^2-15*x = 0

5*x*(x-3) = 0

x-3 = 0 // + 3

x = 3

5*x*(x-3) = 0

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

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

5*x*(x-3) = 0

( 5*x )

5*x = 0 // : 5

x = 0

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 0} 

x = 3

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