((7a-2)/(a^2+3a+2))-((5a-6)/(a^2+3a+2))=((12a-8)/(a^2+3a+2))

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Solution for ((7a-2)/(a^2+3a+2))-((5a-6)/(a^2+3a+2))=((12a-8)/(a^2+3a+2)) equation:


D( a )

a^2+3*a+2 = 0

a^2+3*a+2 = 0

a^2+3*a+2 = 0

a^2+3*a+2 = 0

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

DELTA = 1

DELTA > 0

a = (1^(1/2)-3)/(1*2) or a = (-1^(1/2)-3)/(1*2)

a = -1 or a = -2

a in (-oo:-2) U (-2:-1) U (-1:+oo)

(7*a-2)/(a^2+3*a+2)-((5*a-6)/(a^2+3*a+2)) = (12*a-8)/(a^2+3*a+2) // - (12*a-8)/(a^2+3*a+2)

(7*a-2)/(a^2+3*a+2)-((5*a-6)/(a^2+3*a+2))-((12*a-8)/(a^2+3*a+2)) = 0

(7*a-2)/(a^2+3*a+2)+(-1*(5*a-6))/(a^2+3*a+2)+(-1*(12*a-8))/(a^2+3*a+2) = 0

a^2+3*a+2 = 0

a^2+3*a+2 = 0

a^2+3*a+2 = 0

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

DELTA = 1

DELTA > 0

a = (1^(1/2)-3)/(1*2) or a = (-1^(1/2)-3)/(1*2)

a = -1 or a = -2

(a+2)*(a+1) = 0

(7*a-2)/((a+2)*(a+1))+(-1*(5*a-6))/((a+2)*(a+1))+(-1*(12*a-8))/((a+2)*(a+1)) = 0

7*a-1*(5*a-6)-1*(12*a-8)-2 = 0

2*a-12*a+4+8 = 0

12-10*a = 0

(12-10*a)/((a+2)*(a+1)) = 0

(12-10*a)/((a+2)*(a+1)) = 0 // * (a+2)*(a+1)

12-10*a = 0

12-10*a = 0 // - 12

-10*a = -12 // : -10

a = -12/(-10)

a = 6/5

a = 6/5

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