(10/(4x-8))-(15/(10-5x))

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Solution for (10/(4x-8))-(15/(10-5x)) equation:


D( x )

4*x-8 = 0

10-(5*x) = 0

4*x-8 = 0

4*x-8 = 0

4*x-8 = 0 // + 8

4*x = 8 // : 4

x = 8/4

x = 2

10-(5*x) = 0

10-(5*x) = 0

10-5*x = 0

10-5*x = 0 // - 10

-5*x = -10 // : -5

x = -10/(-5)

x = 2

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

10/(4*x-8)-(15/(10-(5*x))) = 0

10/(4*x-8)-15*(10-5*x)^-1 = 0

10/(4*x-8)-15/(10-5*x) = 0

(10*(10-5*x))/((4*x-8)*(10-5*x))+(-15*(4*x-8))/((4*x-8)*(10-5*x)) = 0

10*(10-5*x)-15*(4*x-8) = 0

220-110*x = 0

(220-110*x)/((4*x-8)*(10-5*x)) = 0

(220-110*x)/((4*x-8)*(10-5*x)) = 0 // * (4*x-8)*(10-5*x)

220-110*x = 0

220-110*x = 0 // - 220

-110*x = -220 // : -110

x = -220/(-110)

x = 2

x in { 2}

x belongs to the empty set

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