((-3a)/(a+10))=((6)/(a-14))

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Solution for ((-3a)/(a+10))=((6)/(a-14)) equation:


D( a )

a+10 = 0

a-14 = 0

a+10 = 0

a+10 = 0

a+10 = 0 // - 10

a = -10

a-14 = 0

a-14 = 0

a-14 = 0 // + 14

a = 14

a in (-oo:-10) U (-10:14) U (14:+oo)

(-3*a)/(a+10) = 6/(a-14) // - 6/(a-14)

(-3*a)/(a+10)-(6/(a-14)) = 0

(-3*a)/(a+10)-6*(a-14)^-1 = 0

(-3*a)/(a+10)-6/(a-14) = 0

(-3*a*(a-14))/((a+10)*(a-14))+(-6*(a+10))/((a+10)*(a-14)) = 0

-3*a*(a-14)-6*(a+10) = 0

36*a-3*a^2-60 = 0

36*a-3*a^2-60 = 0

3*(12*a-a^2-20) = 0

12*a-a^2-20 = 0

DELTA = 12^2-(-20*(-1)*4)

DELTA = 64

DELTA > 0

a = (64^(1/2)-12)/(-1*2) or a = (-64^(1/2)-12)/(-1*2)

a = 2 or a = 10

3*(a-2)*(a-10) = 0

(3*(a-2)*(a-10))/((a+10)*(a-14)) = 0

(3*(a-2)*(a-10))/((a+10)*(a-14)) = 0 // * (a+10)*(a-14)

3*(a-2)*(a-10) = 0

( a-10 )

a-10 = 0 // + 10

a = 10

( a-2 )

a-2 = 0 // + 2

a = 2

a in { 10, 2 }

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