(x-5)(80/x-30)=25

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Solution for (x-5)(80/x-30)=25 equation:


D( x )

x = 0

x = 0

x = 0

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

(x-5)*(80/x-30) = 25 // - 25

(x-5)*(80/x-30)-25 = 0

(x-5)*(80*x^-1-30)-25 = 0

(x-5)*(80*x^-1-30)-25 = 0

205-30*x-400*x^-1 = 0

205-30*x-400*x^-1 = 0

5*(41-6*x-80*x^-1) = 0

41*x^0-6*x^1-80*x^-1 = 0

(41*x^1-6*x^2-80*x^0)/(x^1) = 0 // * x^2

x^1*(41*x^1-6*x^2-80*x^0) = 0

x^1

41*x-6*x^2-80 = 0

41*x-6*x^2-80 = 0

DELTA = 41^2-(-80*(-6)*4)

DELTA = -239

DELTA < 0

x in { }

5 = 0

5 = 0

5 = 0

x belongs to the empty set

x belongs to the empty set

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