-((2a)/(a+5))=(6/(a-11))

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Solution for -((2a)/(a+5))=(6/(a-11)) equation:


D( a )

a+5 = 0

a-11 = 0

a+5 = 0

a+5 = 0

a+5 = 0 // - 5

a = -5

a-11 = 0

a-11 = 0

a-11 = 0 // + 11

a = 11

a in (-oo:-5) U (-5:11) U (11:+oo)

-((2*a)/(a+5)) = 6/(a-11) // - 6/(a-11)

-((2*a)/(a+5))-(6/(a-11)) = 0

-2*a*(a+5)^-1-6*(a-11)^-1 = 0

(-2*a)/(a+5)-6/(a-11) = 0

(-2*a*(a-11))/((a+5)*(a-11))+(-6*(a+5))/((a+5)*(a-11)) = 0

-2*a*(a-11)-6*(a+5) = 0

16*a-2*a^2-30 = 0

16*a-2*a^2-30 = 0

2*(8*a-a^2-15) = 0

8*a-a^2-15 = 0

DELTA = 8^2-(-15*(-1)*4)

DELTA = 4

DELTA > 0

a = (4^(1/2)-8)/(-1*2) or a = (-4^(1/2)-8)/(-1*2)

a = 3 or a = 5

2*(a-3)*(a-5) = 0

(2*(a-3)*(a-5))/((a+5)*(a-11)) = 0

(2*(a-3)*(a-5))/((a+5)*(a-11)) = 0 // * (a+5)*(a-11)

2*(a-3)*(a-5) = 0

( a-3 )

a-3 = 0 // + 3

a = 3

( a-5 )

a-5 = 0 // + 5

a = 5

a in { 3, 5 }

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