x^2/(0.25-x^2)*(0.25-x)

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Solution for x^2/(0.25-x^2)*(0.25-x) equation: 


D( x )

0.25-x^2 = 0

0.25-x^2 = 0

0.25-x^2 = 0

-1*x^2 = -0.25 // : -1

x^2 = 0.25

x^2 = 0.25 // ^ 1/2

abs(x) = 0.25^(1/2)

x = 0.25^(1/2) or x = -0.25^(1/2)

x in (-oo:-0.25^(1/2)) U (-0.25^(1/2):0.25^(1/2)) U (0.25^(1/2):+oo)

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

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

( 0.25-x )

0.25-x = 0 // - 0.25

-x = -0.25 // * -1

x = 0.25

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0.25, 0 }

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