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

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


D( x )

4*x-8 = 0

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

10*x-(5*x) = 0

10*x-5*x = 0

5*x = 0 // : 5

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

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

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

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

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

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

120-10*x = 0

(120-10*x)/(5*x*(4*x-8)) = 0

(120-10*x)/(5*x*(4*x-8)) = 0 // * 5*x*(4*x-8)

120-10*x = 0

120-10*x = 0 // - 120

-10*x = -120 // : -10

x = -120/(-10)

x = 12

x = 12

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