3x-1/(x+3)(x+1)

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Solution for 3x-1/(x+3)(x+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)

3*x-((1/(x+3))*(x+1)) = 0

3*x-((x+1)*(x+3)^-1) = 0

(-1*(x+1))/(x+3)+3*x = 0

(-1*(x+1))/(x+3)+(3*x*(x+3))/(x+3) = 0

3*x*(x+3)-1*(x+1) = 0

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

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

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

DELTA = 8^2-(-1*3*4)

DELTA = 76

DELTA > 0

x = (76^(1/2)-8)/(2*3) or x = (-76^(1/2)-8)/(2*3)

x = (2*19^(1/2)-8)/6 or x = (-2*19^(1/2)-8)/6

(x-((-2*19^(1/2)-8)/6))*(x-((2*19^(1/2)-8)/6)) = 0

((x-((-2*19^(1/2)-8)/6))*(x-((2*19^(1/2)-8)/6)))/(x+3) = 0

((x-((-2*19^(1/2)-8)/6))*(x-((2*19^(1/2)-8)/6)))/(x+3) = 0 // * x+3

(x-((-2*19^(1/2)-8)/6))*(x-((2*19^(1/2)-8)/6)) = 0

( x-((-2*19^(1/2)-8)/6) )

x-((-2*19^(1/2)-8)/6) = 0 // + (-2*19^(1/2)-8)/6

x = (-2*19^(1/2)-8)/6

( x-((2*19^(1/2)-8)/6) )

x-((2*19^(1/2)-8)/6) = 0 // + (2*19^(1/2)-8)/6

x = (2*19^(1/2)-8)/6

x in { (-2*19^(1/2)-8)/6, (2*19^(1/2)-8)/6 }

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