x=(3x)/(8x-9)

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Solution for x=(3x)/(8x-9) equation:


D( x )

8*x-9 = 0

8*x-9 = 0

8*x-9 = 0

8*x-9 = 0 // + 9

8*x = 9 // : 8

x = 9/8

x in (-oo:9/8) U (9/8:+oo)

x = (3*x)/(8*x-9) // - (3*x)/(8*x-9)

x-((3*x)/(8*x-9)) = 0

x-3*x*(8*x-9)^-1 = 0

(-3*x)/(8*x-9)+x = 0

(-3*x)/(8*x-9)+(x*(8*x-9))/(8*x-9) = 0

x*(8*x-9)-3*x = 0

8*x^2-12*x = 0

8*x^2-12*x = 0

4*x*(2*x-3) = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

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

(4*x*(x-3/2))/(8*x-9) = 0

(4*x*(x-3/2))/(8*x-9) = 0 // * 8*x-9

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

( 4*x )

4*x = 0 // : 4

x = 0

( x-3/2 )

x-3/2 = 0 // + 3/2

x = 3/2

x in { 0, 3/2 }

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