(a^2-4a)/(a-2a^2)

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Solution for (a^2-4a)/(a-2a^2) equation:


D( a )

a-(2*a^2) = 0

a-(2*a^2) = 0

a-(2*a^2) = 0

a-2*a^2 = 0

a-2*a^2 = 0

DELTA = 1^2-(-2*0*4)

DELTA = 1

DELTA > 0

a = (1^(1/2)-1)/(-2*2) or a = (-1^(1/2)-1)/(-2*2)

a = 0 or a = 1/2

a in (-oo:0) U (0:1/2) U (1/2:+oo)

(a^2-(4*a))/(a-(2*a^2)) = 0

(a^2-4*a)/(a-2*a^2) = 0

a^2-4*a = 0

a*(a-4) = 0

a-4 = 0 // + 4

a = 4

a*(a-4) = 0

a-2*a^2 = 0

a*(1-2*a) = 0

1-2*a = 0 // - 1

-2*a = -1 // : -2

a = -1/(-2)

a = 1/2

a*(a-1/2) = 0

(a*(a-4))/(a*(a-1/2)) = 0

( a-4 )

a-4 = 0 // + 4

a = 4

( a )

a = 0

a in { 0}

a = 4

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