10x/(2x-3)-5x

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Solution for 10x/(2x-3)-5x equation:


D( x )

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

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

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

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

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

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

25*x-10*x^2 = 0

25*x-10*x^2 = 0

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

5-2*x = 0 // - 5

-2*x = -5 // : -2

x = -5/(-2)

x = 5/2

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

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

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

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

( 5*x )

5*x = 0 // : 5

x = 0

( x-5/2 )

x-5/2 = 0 // + 5/2

x = 5/2

x in { 0, 5/2 }

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