1/(2x+2)-(x-1)/(3x^2+6x+3)

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Solution for 1/(2x+2)-(x-1)/(3x^2+6x+3) equation:


D( x )

3*x^2+6*x+3 = 0

2*x+2 = 0

3*x^2+6*x+3 = 0

3*x^2+6*x+3 = 0

3*x^2+6*x+3 = 0

DELTA = 6^2-(3*3*4)

DELTA = 0

x = -6/(2*3)

x = -1 or x = -1

2*x+2 = 0

2*x+2 = 0

2*x+2 = 0 // - 2

2*x = -2 // : 2

x = -2/2

x = -1

x in (-oo:-1) U (-1:+oo)

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

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

3*x^2+6*x+3 = 0

3*x^2+6*x+3 = 0

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

x^2+2*x+1 = 0

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

DELTA = 0

x = -2/(1*2)

x = -1 or x = -1

3*(x+1)^2 = 0

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

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

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

x^2+6*x+5 = 0

x^2+6*x+5 = 0

x^2+6*x+5 = 0

DELTA = 6^2-(1*4*5)

DELTA = 16

DELTA > 0

x = (16^(1/2)-6)/(1*2) or x = (-16^(1/2)-6)/(1*2)

x = -1 or x = -5

(x+5)*(x+1) = 0

((x+5)*(x+1))/(3*(2*x+2)*(x+1)^2) = 0

((x+5)*(x+1))/(3*(2*x+2)*(x+1)^2) = 0 // * 3*(2*x+2)*(x+1)^2

(x+5)*(x+1) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x+5 )

x+5 = 0 // - 5

x = -5

x in { -1}

x = -5

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