x-6/(100-10*x)=9

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Solution for x-6/(100-10*x)=9 equation: 


D( x )

100-(10*x) = 0

100-(10*x) = 0

100-(10*x) = 0

100-10*x = 0

100-10*x = 0 // - 100

-10*x = -100 // : -10

x = -100/(-10)

x = 10

x in (-oo:10) U (10:+oo)

x-(6/(100-(10*x))) = 9 // - 9

x-(6/(100-(10*x)))-9 = 0

x-6*(100-10*x)^-1-9 = 0

x-6/(100-10*x)-9 = 0

(x*(100-10*x))/(100-10*x)-6/(100-10*x)+(-9*(100-10*x))/(100-10*x) = 0

x*(100-10*x)-9*(100-10*x)-6 = 0

100*x-10*x^2+90*x-900-6 = 0

190*x-10*x^2-906 = 0

190*x-10*x^2-906 = 0

2*(95*x-5*x^2-453) = 0

95*x-5*x^2-453 = 0

DELTA = 95^2-(-453*(-5)*4)

DELTA = -35

DELTA < 0

2 = 0

2/(100-10*x) = 0

2/(100-10*x) = 0 // * 100-10*x

2 = 0

2 = 0

x belongs to the empty set

x belongs to the empty set

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