-4a/(a+8)=12/(a-17)

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Solution for -4a/(a+8)=12/(a-17) equation:


D( a )

a-17 = 0

a+8 = 0

a-17 = 0

a-17 = 0

a-17 = 0 // + 17

a = 17

a+8 = 0

a+8 = 0

a+8 = 0 // - 8

a = -8

a in (-oo:-8) U (-8:17) U (17:+oo)

(-4*a)/(a+8) = 12/(a-17) // - 12/(a-17)

(-4*a)/(a+8)-(12/(a-17)) = 0

(-4*a)/(a+8)-12*(a-17)^-1 = 0

(-4*a)/(a+8)-12/(a-17) = 0

(-4*a*(a-17))/((a+8)*(a-17))+(-12*(a+8))/((a+8)*(a-17)) = 0

-4*a*(a-17)-12*(a+8) = 0

56*a-4*a^2-96 = 0

56*a-4*a^2-96 = 0

4*(14*a-a^2-24) = 0

14*a-a^2-24 = 0

DELTA = 14^2-(-24*(-1)*4)

DELTA = 100

DELTA > 0

a = (100^(1/2)-14)/(-1*2) or a = (-100^(1/2)-14)/(-1*2)

a = 2 or a = 12

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

(4*(a-2)*(a-12))/((a+8)*(a-17)) = 0

(4*(a-2)*(a-12))/((a+8)*(a-17)) = 0 // * (a+8)*(a-17)

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

( a-12 )

a-12 = 0 // + 12

a = 12

( a-2 )

a-2 = 0 // + 2

a = 2

a in { 12, 2 }

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