8a/(5a+15)-(a-8)/(a+3)

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Solution for 8a/(5a+15)-(a-8)/(a+3) equation:


D( a )

a+3 = 0

5*a+15 = 0

a+3 = 0

a+3 = 0

a+3 = 0 // - 3

a = -3

5*a+15 = 0

5*a+15 = 0

5*a+15 = 0 // - 15

5*a = -15 // : 5

a = -15/5

a = -3

a in (-oo:-3) U (-3:+oo)

(8*a)/(5*a+15)-((a-8)/(a+3)) = 0

(8*a)/(5*a+15)+(-1*(a-8))/(a+3) = 0

(8*a*(a+3))/((5*a+15)*(a+3))+(-1*(a-8)*(5*a+15))/((5*a+15)*(a+3)) = 0

8*a*(a+3)-1*(a-8)*(5*a+15) = 0

3*a^2+49*a+120 = 0

3*a^2+49*a+120 = 0

3*a^2+49*a+120 = 0

DELTA = 49^2-(3*4*120)

DELTA = 961

DELTA > 0

a = (961^(1/2)-49)/(2*3) or a = (-961^(1/2)-49)/(2*3)

a = -3 or a = -40/3

(a+40/3)*(a+3) = 0

((a+40/3)*(a+3))/((5*a+15)*(a+3)) = 0

((a+40/3)*(a+3))/((5*a+15)*(a+3)) = 0 // * (5*a+15)*(a+3)

(a+40/3)*(a+3) = 0

( a+3 )

a+3 = 0 // - 3

a = -3

( a+40/3 )

a+40/3 = 0 // - 40/3

a = -40/3

a in { -3}

a = -40/3

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