5=4x/(1-x)

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Solution for 5=4x/(1-x) equation: 


D( x )

1-x = 0

1-x = 0

1-x = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

x in (-oo:1) U (1:+oo)

5 = (4*x)/(1-x) // - (4*x)/(1-x)

5-((4*x)/(1-x)) = 0

5-4*x*(1-x)^-1 = 0

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

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

5*(1-x)-4*x = 0

5-9*x = 0

(5-9*x)/(1-x) = 0

(5-9*x)/(1-x) = 0 // * 1-x

5-9*x = 0

5-9*x = 0 // - 5

-9*x = -5 // : -9

x = -5/(-9)

x = 5/9

x = 5/9

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