-((4a)/(a+4))=12/(a-16)

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Solution for -((4a)/(a+4))=12/(a-16) equation:


D( a )

a-16 = 0

a+4 = 0

a-16 = 0

a-16 = 0

a-16 = 0 // + 16

a = 16

a+4 = 0

a+4 = 0

a+4 = 0 // - 4

a = -4

a in (-oo:-4) U (-4:16) U (16:+oo)

-((4*a)/(a+4)) = 12/(a-16) // - 12/(a-16)

-((4*a)/(a+4))-(12/(a-16)) = 0

-4*a*(a+4)^-1-12*(a-16)^-1 = 0

(-4*a)/(a+4)-12/(a-16) = 0

(-4*a*(a-16))/((a+4)*(a-16))+(-12*(a+4))/((a+4)*(a-16)) = 0

-4*a*(a-16)-12*(a+4) = 0

52*a-4*a^2-48 = 0

52*a-4*a^2-48 = 0

4*(13*a-a^2-12) = 0

13*a-a^2-12 = 0

DELTA = 13^2-(-12*(-1)*4)

DELTA = 121

DELTA > 0

a = (121^(1/2)-13)/(-1*2) or a = (-121^(1/2)-13)/(-1*2)

a = 1 or a = 12

4*(a-1)*(a-12) = 0

(4*(a-1)*(a-12))/((a+4)*(a-16)) = 0

(4*(a-1)*(a-12))/((a+4)*(a-16)) = 0 // * (a+4)*(a-16)

4*(a-1)*(a-12) = 0

( a-1 )

a-1 = 0 // + 1

a = 1

( a-12 )

a-12 = 0 // + 12

a = 12

a in { 1, 12 }

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