(36/(x+3))-(15(x+9))=1

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Solution for (36/(x+3))-(15(x+9))=1 equation: 


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

36/(x+3)-(15*(x+9)) = 1 // - 1

36/(x+3)-(15*(x+9))-1 = 0

36/(x+3)-15*(x+9)-1 = 0

36/(x+3)+(-15*(x+9)*(x+3))/(x+3)+(-1*(x+3))/(x+3) = 0

36-15*(x+9)*(x+3)-1*(x+3) = 0

-15*x^2-180*x-x-369-3 = 0

-15*x^2-181*x-372 = 0

-15*x^2-181*x-372 = 0

-1*(15*x^2+181*x+372) = 0

15*x^2+181*x+372 = 0

DELTA = 181^2-(4*15*372)

DELTA = 10441

DELTA > 0

x = (10441^(1/2)-181)/(2*15) or x = (-10441^(1/2)-181)/(2*15)

x = (10441^(1/2)-181)/30 or x = (-(10441^(1/2)+181))/30

-1*(x+(10441^(1/2)+181)/30)*(x-((10441^(1/2)-181)/30)) = 0

(-1*(x+(10441^(1/2)+181)/30)*(x-((10441^(1/2)-181)/30)))/(x+3) = 0

(-1*(x+(10441^(1/2)+181)/30)*(x-((10441^(1/2)-181)/30)))/(x+3) = 0 // * x+3

-1*(x+(10441^(1/2)+181)/30)*(x-((10441^(1/2)-181)/30)) = 0

( x+(10441^(1/2)+181)/30 )

x+(10441^(1/2)+181)/30 = 0 // - (10441^(1/2)+181)/30

x = -((10441^(1/2)+181)/30)

( x-((10441^(1/2)-181)/30) )

x-((10441^(1/2)-181)/30) = 0 // + (10441^(1/2)-181)/30

x = (10441^(1/2)-181)/30

x in { -((10441^(1/2)+181)/30), (10441^(1/2)-181)/30 }

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