4x/(20-8x)=4x/(8x-12)

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Solution for 4x/(20-8x)=4x/(8x-12) equation:


D( x )

20-(8*x) = 0

8*x-12 = 0

20-(8*x) = 0

20-(8*x) = 0

20-8*x = 0

20-8*x = 0 // - 20

-8*x = -20 // : -8

x = -20/(-8)

x = 5/2

8*x-12 = 0

8*x-12 = 0

8*x-12 = 0 // + 12

8*x = 12 // : 8

x = 12/8

x = 3/2

x in (-oo:3/2) U (3/2:5/2) U (5/2:+oo)

(4*x)/(20-(8*x)) = (4*x)/(8*x-12) // - (4*x)/(8*x-12)

(4*x)/(20-(8*x))-((4*x)/(8*x-12)) = 0

(4*x)/(20-8*x)-4*x*(8*x-12)^-1 = 0

(4*x)/(20-8*x)+(-4*x)/(8*x-12) = 0

(4*x*(8*x-12))/((20-8*x)*(8*x-12))+(-4*x*(20-8*x))/((20-8*x)*(8*x-12)) = 0

4*x*(8*x-12)-4*x*(20-8*x) = 0

64*x^2-128*x = 0

64*x^2-128*x = 0

64*x*(x-2) = 0

x-2 = 0 // + 2

x = 2

64*x*(x-2) = 0

(64*x*(x-2))/((20-8*x)*(8*x-12)) = 0

(64*x*(x-2))/((20-8*x)*(8*x-12)) = 0 // * (20-8*x)*(8*x-12)

64*x*(x-2) = 0

( 64*x )

64*x = 0 // : 64

x = 0

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 0, 2 }

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