(2x)^2/(0.50-2x)^2(0.50-x)

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Solution for (2x)^2/(0.50-2x)^2(0.50-x) equation: 


D( x )

(0.5-(2*x))^2 = 0

(0.5-(2*x))^2 = 0

(0.5-(2*x))^2 = 0

(0.5-2*x)^2 = 0

0.5-2*x = 0 // - 0.5

-2*x = -0.5 // : -2

x = -0.5/(-2)

x = 0.25

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

(((2*x)^2)/((0.5-(2*x))^2))*(0.5-x) = 0

(((2*x)^2)/((0.5-2*x)^2))*(0.5-x) = 0

(4*x^2*(0.5-x))/((0.5-2*x)^2) = 0

( 0.5-x )

0.5-x = 0 // - 0.5

-x = -0.5 // * -1

x = 0.5

( 4*x^2 )

4*x^2 = 0 // : 4

x^2 = 0

x = 0

x in { 0.5, 0 }

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