(3m-5)-5/(3m+5)+1

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Solution for (3m-5)-5/(3m+5)+1 equation: 


D( m )

3*m+5 = 0

3*m+5 = 0

3*m+5 = 0

3*m+5 = 0 // - 5

3*m = -5 // : 3

m = -5/3

m in (-oo:-5/3) U (-5/3:+oo)

3*m-(5/(3*m+5))-5+1 = 0

3*m-5*(3*m+5)^-1-5+1 = 0

3*m-5/(3*m+5)-5+1 = 0

(3*m*(3*m+5))/(3*m+5)-5/(3*m+5)+(-5*(3*m+5))/(3*m+5)+(1*(3*m+5))/(3*m+5) = 0

3*m*(3*m+5)-5*(3*m+5)+1*(3*m+5)-5 = 0

9*m^2+15*m-15*m+3*m-25-5+5 = 0

9*m^2+3*m-30+5 = 0

9*m^2+3*m-25 = 0

9*m^2+3*m-25 = 0

9*m^2+3*m-25 = 0

DELTA = 3^2-(-25*4*9)

DELTA = 909

DELTA > 0

m = (909^(1/2)-3)/(2*9) or m = (-909^(1/2)-3)/(2*9)

m = (3*101^(1/2)-3)/18 or m = (-3*101^(1/2)-3)/18

(m-((-3*101^(1/2)-3)/18))*(m-((3*101^(1/2)-3)/18)) = 0

((m-((-3*101^(1/2)-3)/18))*(m-((3*101^(1/2)-3)/18)))/(3*m+5) = 0

((m-((-3*101^(1/2)-3)/18))*(m-((3*101^(1/2)-3)/18)))/(3*m+5) = 0 // * 3*m+5

(m-((-3*101^(1/2)-3)/18))*(m-((3*101^(1/2)-3)/18)) = 0

( m-((-3*101^(1/2)-3)/18) )

m-((-3*101^(1/2)-3)/18) = 0 // + (-3*101^(1/2)-3)/18

m = (-3*101^(1/2)-3)/18

( m-((3*101^(1/2)-3)/18) )

m-((3*101^(1/2)-3)/18) = 0 // + (3*101^(1/2)-3)/18

m = (3*101^(1/2)-3)/18

m in { (-3*101^(1/2)-3)/18, (3*101^(1/2)-3)/18 }

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