(1/2)-(1/(2(1-2x)^2))

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Solution for (1/2)-(1/(2(1-2x)^2)) equation: 


D( x )

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

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

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

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

( 1-2*x )

1-2*x = 0 // - 1

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

x = -1/(-2)

x = 1/2

( 2 )

2 = 0

x belongs to the empty set

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

1/2-(1/(2*(1-(2*x))^2)) = 0

(-1/2)*(1-2*x)^-2+1/2 = 0

1/2-1/2/((1-2*x)^2) = 0

(-1/2*2)/(2*(1-2*x)^2)+(1*(1-2*x)^2)/(2*(1-2*x)^2) = 0

1*(1-2*x)^2-1/2*2 = 0

4*x^2-4*x = 0

4*x^2-4*x = 0

4*x*(x-1) = 0

x-1 = 0 // + 1

x = 1

4*x*(x-1) = 0

(4*x*(x-1))/(2*(1-2*x)^2) = 0

(4*x*(x-1))/(2*(1-2*x)^2) = 0 // * 2*(1-2*x)^2

4*x*(x-1) = 0

( 4*x )

4*x = 0 // : 4

x = 0

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 0, 1 }

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