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 = 52

DELTA > 0

x = (52^(1/2)-8)/(2*3) or x = (-52^(1/2)-8)/(2*3)

x = (2*13^(1/2)-8)/6 or x = (-2*13^(1/2)-8)/6

(x-((-2*13^(1/2)-8)/6))*(x-((2*13^(1/2)-8)/6)) = 0

((x-((-2*13^(1/2)-8)/6))*(x-((2*13^(1/2)-8)/6)))/(x+3) = 0

((x-((-2*13^(1/2)-8)/6))*(x-((2*13^(1/2)-8)/6)))/(x+3) = 0 // * x+3

(x-((-2*13^(1/2)-8)/6))*(x-((2*13^(1/2)-8)/6)) = 0

( x-((-2*13^(1/2)-8)/6) )

x-((-2*13^(1/2)-8)/6) = 0 // + (-2*13^(1/2)-8)/6

x = (-2*13^(1/2)-8)/6

( x-((2*13^(1/2)-8)/6) )

x-((2*13^(1/2)-8)/6) = 0 // + (2*13^(1/2)-8)/6

x = (2*13^(1/2)-8)/6

x in { (-2*13^(1/2)-8)/6, (2*13^(1/2)-8)/6 }

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