(3x-4(9x/16))/((4x-5(9x/16)))

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Solution for (3x-4(9x/16))/((4x-5(9x/16))) equation: 


D( x )

4*x-(5*((9*x)/16)) = 0

4*x-(5*((9*x)/16)) = 0

4*x-(5*((9*x)/16)) = 0

4*x+(-45/16)*x = 0

19/16*x = 0 // : 19/16

x = 0

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

(3*x-(4*((9*x)/16)))/(4*x-(5*((9*x)/16))) = 0

(3*x+(-9/4)*x)/(4*x+(-45/16)*x) = 0

(3/4*x)/(19/16*x) = 0

3/4*x = 0 // : 3/4

x = 0

x in { 0} 

x belongs to the empty set

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