(4/9)=(x-5)/(x+2)

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Solution for (4/9)=(x-5)/(x+2) equation: 


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:+oo)

4/9 = (x-5)/(x+2) // - (x-5)/(x+2)

4/9-((x-5)/(x+2)) = 0

(-1*(x-5))/(x+2)+4/9 = 0

(-1*9*(x-5))/(9*(x+2))+(4*(x+2))/(9*(x+2)) = 0

4*(x+2)-1*9*(x-5) = 0

53-5*x = 0

(53-5*x)/(9*(x+2)) = 0

(53-5*x)/(9*(x+2)) = 0 // * 9*(x+2)

53-5*x = 0

53-5*x = 0 // - 53

-5*x = -53 // : -5

x = -53/(-5)

x = 53/5

x = 53/5

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