3(x+2)+5x+6+x-1/x-2=7/x+3

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Solution for 3(x+2)+5x+6+x-1/x-2=7/x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*(x+2)+5*x+x-(1/x)-2+6 = 7/x+3 // - 7/x+3

3*(x+2)+5*x+x-(1/x)-(7/x)-3-2+6 = 0

3*(x+2)+5*x+x-x^-1-7*x^-1-3-2+6 = 0

3*(x+2)+5*x+x-1/x-7/x-3-2+6 = 0

(3*x*(x+2))/x+(5*x*x)/x+(x^2)/x-1/x-7/x+(-3*x)/x+(-2*x)/x+(6*x)/x = 0

3*x*(x+2)+5*x*x+x^2-3*x-2*x+6*x-7-1 = 0

8*x^2+x^2+6*x-3*x-2*x+6*x-7-1 = 0

9*x^2+6*x-3*x-2*x+6*x-7-1 = 0

9*x^2+6*x-3*x-2*x+6*x-8 = 0

9*x^2+3*x-2*x+6*x-8 = 0

9*x^2+x+6*x-8 = 0

9*x^2+7*x-8 = 0

9*x^2+7*x-8 = 0

9*x^2+7*x-8 = 0

DELTA = 7^2-(-8*4*9)

DELTA = 337

DELTA > 0

x = (337^(1/2)-7)/(2*9) or x = (-337^(1/2)-7)/(2*9)

x = (337^(1/2)-7)/18 or x = (-(337^(1/2)+7))/18

(x+(337^(1/2)+7)/18)*(x-((337^(1/2)-7)/18)) = 0

((x+(337^(1/2)+7)/18)*(x-((337^(1/2)-7)/18)))/x = 0

((x+(337^(1/2)+7)/18)*(x-((337^(1/2)-7)/18)))/x = 0 // * x

(x+(337^(1/2)+7)/18)*(x-((337^(1/2)-7)/18)) = 0

( x+(337^(1/2)+7)/18 )

x+(337^(1/2)+7)/18 = 0 // - (337^(1/2)+7)/18

x = -((337^(1/2)+7)/18)

( x-((337^(1/2)-7)/18) )

x-((337^(1/2)-7)/18) = 0 // + (337^(1/2)-7)/18

x = (337^(1/2)-7)/18

x in { -((337^(1/2)+7)/18), (337^(1/2)-7)/18 }

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