(2a+11)/(a+2)-(2a-3)/(-a-2)

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Solution for (2a+11)/(a+2)-(2a-3)/(-a-2) equation: 


D( a )

a+2 = 0

-a-2 = 0

a+2 = 0

a+2 = 0

a+2 = 0 // - 2

a = -2

-a-2 = 0

-a-2 = 0

-a-2 = 0 // + 2

-a = 2 // * -1

a = -2

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

(2*a+11)/(a+2)-((2*a-3)/(-a-2)) = 0

(2*a+11)/(a+2)+(-1*(2*a-3))/(-a-2) = 0

((2*a+11)*(-a-2))/((a+2)*(-a-2))+(-1*(2*a-3)*(a+2))/((a+2)*(-a-2)) = 0

(2*a+11)*(-a-2)-1*(2*a-3)*(a+2) = 0

-4*a^2-16*a-16 = 0

-4*a^2-16*a-16 = 0

-4*(a^2+4*a+4) = 0

a^2+4*a+4 = 0

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

DELTA = 0

a = -4/(1*2)

a = -2 or a = -2

-4*(a+2)^2 = 0

(-4*(a+2)^2)/((a+2)*(-a-2)) = 0

(-4*(a+2)^2)/((a+2)*(-a-2)) = 0 // * (a+2)*(-a-2)

-4*(a+2)^2 = 0

a+2 = 0 // - 2

a = -2

a in { -2} 

a belongs to the empty set

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