10/(x+3)-3/(5)=(10x+1)/(3x+9)

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Solution for 10/(x+3)-3/(5)=(10x+1)/(3x+9) equation: 


D( x )

x+3 = 0

3*x+9 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

3*x+9 = 0

3*x+9 = 0

3*x+9 = 0 // - 9

3*x = -9 // : 3

x = -9/3

x = -3

x in (-oo:-3) U (-3:+oo)

10/(x+3)-(3/5) = (10*x+1)/(3*x+9) // - (10*x+1)/(3*x+9)

10/(x+3)-((10*x+1)/(3*x+9))-(3/5) = 0

10/(x+3)-((10*x+1)/(3*x+9))-3/5 = 0

10/(x+3)+(-1*(10*x+1))/(3*x+9)-3/5 = 0

(5*10*(3*x+9))/(5*(x+3)*(3*x+9))+(-1*5*(10*x+1)*(x+3))/(5*(x+3)*(3*x+9))+(-3*(x+3)*(3*x+9))/(5*(x+3)*(3*x+9)) = 0

5*10*(3*x+9)-1*5*(10*x+1)*(x+3)-3*(x+3)*(3*x+9) = 0

435-50*x^2-9*x^2-5*x-54*x-81 = 0

354-59*x^2-59*x = 0

354-59*x^2-59*x = 0

59*(6-x^2-x) = 0

6-x^2-x = 0

DELTA = (-1)^2-(-1*4*6)

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(-1*2) or x = (1-25^(1/2))/(-1*2)

x = -3 or x = 2

59*(x+3)*(x-2) = 0

(59*(x+3)*(x-2))/(5*(x+3)*(3*x+9)) = 0

(59*(x+3)*(x-2))/(5*(x+3)*(3*x+9)) = 0 // * 5*(x+3)*(3*x+9)

59*(x+3)*(x-2) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -3} 

x = 2

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