24a/(x-24)=12a/30

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Solution for 24a/(x-24)=12a/30 equation:


D( x )

x-24 = 0

x-24 = 0

x-24 = 0

x-24 = 0 // + 24

x = 24

x in (-oo:24) U (24:+oo)

(24*a)/(x-24) = (12*a)/30 // - (12*a)/30

(24*a)/(x-24)-((12*a)/30) = 0

(24*a)/(x-24)+(-2/5)*a = 0

(24*a)/(x-24)+(-2*a)/5 = 0

(5*24*a)/(5*(x-24))+(-2*a*(x-24))/(5*(x-24)) = 0

5*24*a-2*a*(x-24) = 0

168*a-2*a*x = 0

(168*a-2*a*x)/(5*(x-24)) = 0

(168*a-2*a*x)/(5*(x-24)) = 0 // * 5*(x-24)

168*a-2*a*x = 0

168*a-2*a*x = 0 // - 168*a

-2*a*x = -(168*a) // : -2*a

x = (-(168*a))/(-2*a)

x = 84

x = 84

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