(-2a)/(a+8)=2/(a-7)

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Solution for (-2a)/(a+8)=2/(a-7) equation:


D( a )

a-7 = 0

a+8 = 0

a-7 = 0

a-7 = 0

a-7 = 0 // + 7

a = 7

a+8 = 0

a+8 = 0

a+8 = 0 // - 8

a = -8

a in (-oo:-8) U (-8:7) U (7:+oo)

(-2*a)/(a+8) = 2/(a-7) // - 2/(a-7)

(-2*a)/(a+8)-(2/(a-7)) = 0

(-2*a)/(a+8)-2*(a-7)^-1 = 0

(-2*a)/(a+8)-2/(a-7) = 0

(-2*a*(a-7))/((a+8)*(a-7))+(-2*(a+8))/((a+8)*(a-7)) = 0

-2*a*(a-7)-2*(a+8) = 0

12*a-2*a^2-16 = 0

12*a-2*a^2-16 = 0

2*(6*a-a^2-8) = 0

6*a-a^2-8 = 0

DELTA = 6^2-(-8*(-1)*4)

DELTA = 4

DELTA > 0

a = (4^(1/2)-6)/(-1*2) or a = (-4^(1/2)-6)/(-1*2)

a = 2 or a = 4

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

(2*(a-2)*(a-4))/((a+8)*(a-7)) = 0

(2*(a-2)*(a-4))/((a+8)*(a-7)) = 0 // * (a+8)*(a-7)

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

( a-2 )

a-2 = 0 // + 2

a = 2

( a-4 )

a-4 = 0 // + 4

a = 4

a in { 2, 4 }

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