4/(a-7)=-2a/(a-3)

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Solution for 4/(a-7)=-2a/(a-3) 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)

4/(a-7) = (-2*a)/(a-3) // - (-2*a)/(a-3)

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

4/(a-7)+2*a*(a-3)^-1 = 0

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

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

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

2*a^2-10*a-12 = 0

2*a^2-10*a-12 = 0

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

a^2-5*a-6 = 0

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

DELTA = 49

DELTA > 0

a = (49^(1/2)+5)/(1*2) or a = (5-49^(1/2))/(1*2)

a = 6 or a = -1

2*(a+1)*(a-6) = 0

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

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

2*(a+1)*(a-6) = 0

( a+1 )

a+1 = 0 // - 1

a = -1

( a-6 )

a-6 = 0 // + 6

a = 6

a in { -1, 6 }

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