-(4a)/(a+10)=12/(a-20)

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Solution for -(4a)/(a+10)=12/(a-20) equation:


D( a )

a-20 = 0

a+10 = 0

a-20 = 0

a-20 = 0

a-20 = 0 // + 20

a = 20

a+10 = 0

a+10 = 0

a+10 = 0 // - 10

a = -10

a in (-oo:-10) U (-10:20) U (20:+oo)

-((4*a)/(a+10)) = 12/(a-20) // - 12/(a-20)

-((4*a)/(a+10))-(12/(a-20)) = 0

-4*a*(a+10)^-1-12*(a-20)^-1 = 0

(-4*a)/(a+10)-12/(a-20) = 0

(-4*a*(a-20))/((a+10)*(a-20))+(-12*(a+10))/((a+10)*(a-20)) = 0

-4*a*(a-20)-12*(a+10) = 0

68*a-4*a^2-120 = 0

68*a-4*a^2-120 = 0

4*(17*a-a^2-30) = 0

17*a-a^2-30 = 0

DELTA = 17^2-(-30*(-1)*4)

DELTA = 169

DELTA > 0

a = (169^(1/2)-17)/(-1*2) or a = (-169^(1/2)-17)/(-1*2)

a = 2 or a = 15

4*(a-2)*(a-15) = 0

(4*(a-2)*(a-15))/((a+10)*(a-20)) = 0

(4*(a-2)*(a-15))/((a+10)*(a-20)) = 0 // * (a+10)*(a-20)

4*(a-2)*(a-15) = 0

( a-15 )

a-15 = 0 // + 15

a = 15

( a-2 )

a-2 = 0 // + 2

a = 2

a in { 15, 2 }

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