(-3a)/(a+3)=(6)/(a-7)

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Solution for (-3a)/(a+3)=(6)/(a-7) equation:


D( a )

a-7 = 0

a+3 = 0

a-7 = 0

a-7 = 0

a-7 = 0 // + 7

a = 7

a+3 = 0

a+3 = 0

a+3 = 0 // - 3

a = -3

a in (-oo:-3) U (-3:7) U (7:+oo)

(-3*a)/(a+3) = 6/(a-7) // - 6/(a-7)

(-3*a)/(a+3)-(6/(a-7)) = 0

(-3*a)/(a+3)-6*(a-7)^-1 = 0

(-3*a)/(a+3)-6/(a-7) = 0

(-3*a*(a-7))/((a+3)*(a-7))+(-6*(a+3))/((a+3)*(a-7)) = 0

-3*a*(a-7)-6*(a+3) = 0

15*a-3*a^2-18 = 0

15*a-3*a^2-18 = 0

3*(5*a-a^2-6) = 0

5*a-a^2-6 = 0

DELTA = 5^2-(-6*(-1)*4)

DELTA = 1

DELTA > 0

a = (1^(1/2)-5)/(-1*2) or a = (-1^(1/2)-5)/(-1*2)

a = 2 or a = 3

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

(3*(a-2)*(a-3))/((a+3)*(a-7)) = 0

(3*(a-2)*(a-3))/((a+3)*(a-7)) = 0 // * (a+3)*(a-7)

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

( a-2 )

a-2 = 0 // + 2

a = 2

( a-3 )

a-3 = 0 // + 3

a = 3

a in { 2, 3 }

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