6=(2x)/(0.25-x)

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Solution for 6=(2x)/(0.25-x) equation: 


D( x )

0.25-x = 0

0.25-x = 0

0.25-x = 0

0.25-x = 0 // - 0.25

-x = -0.25 // * -1

x = 0.25

x in (-oo:0.25) U (0.25:+oo)

6 = (2*x)/(0.25-x) // - (2*x)/(0.25-x)

6-((2*x)/(0.25-x)) = 0

6-2*x*(0.25-x)^-1 = 0

(-2*x)/(0.25-x)+6 = 0

(-2*x)/(0.25-x)+(6*(0.25-x))/(0.25-x) = 0

6*(0.25-x)-2*x = 0

1.5-8*x = 0

(1.5-8*x)/(0.25-x) = 0

(1.5-8*x)/(0.25-x) = 0 // * 0.25-x

1.5-8*x = 0

1.5-8*x = 0 // - 1.5

-8*x = -1.5 // : -8

x = -1.5/(-8)

x = 0.1875

x = 0.1875

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