2/(3x^2-2x-8)+1/(3x^2+13x+12)

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Solution for 2/(3x^2-2x-8)+1/(3x^2+13x+12) equation:


D( x )

3*x^2-(2*x)-8 = 0

3*x^2+13*x+12 = 0

3*x^2-(2*x)-8 = 0

3*x^2-(2*x)-8 = 0

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

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

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

DELTA = 100

DELTA > 0

x = (100^(1/2)+2)/(2*3) or x = (2-100^(1/2))/(2*3)

x = 2 or x = -4/3

3*x^2+13*x+12 = 0

3*x^2+13*x+12 = 0

3*x^2+13*x+12 = 0

DELTA = 13^2-(3*4*12)

DELTA = 25

DELTA > 0

x = (25^(1/2)-13)/(2*3) or x = (-25^(1/2)-13)/(2*3)

x = -4/3 or x = -3

x in (-oo:-3) U (-3:-4/3) U (-4/3:2) U (2:+oo)

2/(3*x^2-(2*x)-8)+1/(3*x^2+13*x+12) = 0

2/(3*x^2-2*x-8)+1/(3*x^2+13*x+12) = 0

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

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

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

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

DELTA = 100

DELTA > 0

x = (100^(1/2)+2)/(2*3) or x = (2-100^(1/2))/(2*3)

x = 2 or x = -4/3

(x+4/3)*(x-2) = 0

3*x^2+13*x+12 = 0

3*x^2+13*x+12 = 0

3*x^2+13*x+12 = 0

DELTA = 13^2-(3*4*12)

DELTA = 25

DELTA > 0

x = (25^(1/2)-13)/(2*3) or x = (-25^(1/2)-13)/(2*3)

x = -4/3 or x = -3

(x+3)*(x+4/3) = 0

2/((x+4/3)*(x-2))+1/((x+3)*(x+4/3)) = 0

(2*(x+3))/((x+4/3)*(x-2)*(x+3))+(1*(x-2))/((x+4/3)*(x-2)*(x+3)) = 0

2*(x+3)+1*(x-2) = 0

3*x+4 = 0

(3*x+4)/((x+4/3)*(x-2)*(x+3)) = 0

(3*x+4)/((x+4/3)*(x-2)*(x+3)) = 0 // * (x+4/3)*(x-2)*(x+3)

3*x+4 = 0

3*x+4 = 0 // - 4

3*x = -4 // : 3

x = -4/3

x in { -4/3}

x belongs to the empty set

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