2x-9/3x/(4x-18)

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Solution for 2x-9/3x/(4x-18) equation:


D( x )

4*x-18 = 0

4*x-18 = 0

4*x-18 = 0

4*x-18 = 0 // + 18

4*x = 18 // : 4

x = 18/4

x = 9/2

x in (-oo:9/2) U (9/2:+oo)

2*x-(((9/3)*x)/(4*x-18)) = 0

2*x-3*x*(4*x-18)^-1 = 0

(-3*x)/(4*x-18)+2*x = 0

(-3*x)/(4*x-18)+(2*x*(4*x-18))/(4*x-18) = 0

2*x*(4*x-18)-3*x = 0

8*x^2-39*x = 0

8*x^2-39*x = 0

x*(8*x-39) = 0

8*x-39 = 0 // + 39

8*x = 39 // : 8

x = 39/8

x*(x-39/8) = 0

(x*(x-39/8))/(4*x-18) = 0

(x*(x-39/8))/(4*x-18) = 0 // * 4*x-18

x*(x-39/8) = 0

( x-39/8 )

x-39/8 = 0 // + 39/8

x = 39/8

( x )

x = 0

x in { 39/8, 0 }

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