5/x+5+3/2(x+3)=1/x+2+22

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Solution for 5/x+5+3/2(x+3)=1/x+2+22 equation: 


D( x )

x = 0

x = 0

x = 0

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

(3/2)*(x+3)+5/x+5 = 1/x+2+22 // - 1/x+2+22

(3/2)*(x+3)+5/x-(1/x)-22-2+5 = 0

(3/2)*(x+3)+5/x-x^-1-22-2+5 = 0

3/2*(x+3)+5/x-1/x-22-2+5 = 0

(3/2*x*(x+3))/x+5/x-1/x+(-22*x)/x+(-2*x)/x+(5*x)/x = 0

3/2*x*(x+3)-22*x-2*x+5*x-1+5 = 0

3/2*x^2+9/2*x-22*x-2*x+5*x-1+5 = 0

3/2*x^2+9/2*x-22*x-2*x+5*x+4 = 0

3/2*x^2-35/2*x-2*x+5*x+4 = 0

3/2*x^2-39/2*x+5*x+4 = 0

3/2*x^2-29/2*x+4 = 0

3/2*x^2-29/2*x+4 = 0

3/2*x^2-29/2*x+4 = 0

DELTA = (-29/2)^2-(3/2*4*4)

DELTA = 745/4

DELTA > 0

x = ((745/4)^(1/2)+29/2)/(3/2*2) or x = (29/2-(745/4)^(1/2))/(3/2*2)

x = ((745/4)^(1/2)+29/2)/3 or x = (29/2-(745/4)^(1/2))/3

(x-((29/2-(745/4)^(1/2))/3))*(x-(((745/4)^(1/2)+29/2)/3)) = 0

((x-((29/2-(745/4)^(1/2))/3))*(x-(((745/4)^(1/2)+29/2)/3)))/x = 0

((x-((29/2-(745/4)^(1/2))/3))*(x-(((745/4)^(1/2)+29/2)/3)))/x = 0 // * x

(x-((29/2-(745/4)^(1/2))/3))*(x-(((745/4)^(1/2)+29/2)/3)) = 0

( x-(((745/4)^(1/2)+29/2)/3) )

x-(((745/4)^(1/2)+29/2)/3) = 0 // + ((745/4)^(1/2)+29/2)/3

x = ((745/4)^(1/2)+29/2)/3

( x-((29/2-(745/4)^(1/2))/3) )

x-((29/2-(745/4)^(1/2))/3) = 0 // + (29/2-(745/4)^(1/2))/3

x = (29/2-(745/4)^(1/2))/3

x in { ((745/4)^(1/2)+29/2)/3, (29/2-(745/4)^(1/2))/3 }

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