a^1/2(a^3/2-2a^1/2)

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Solution for a^1/2(a^3/2-2a^1/2) equation: 


a in (-oo:+oo)

((a^1)/2)*((a^3)/2-((2*a^1)/2)) = 0

(a/2)*((a^3)/2-a) = 0

1/2*a*(1/2*a^3-a) = 0

1/2*a^3-a = 0

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

1/2*a^2 = 1 // : 1/2

a^2 = 2

a^2 = 2 // ^ 1/2

abs(a) = 2^(1/2)

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

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

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

( 1/2*a )

1/2*a = 0 // : 1/2

a = 0

( a+2^(1/2) )

a+2^(1/2) = 0 // - 2^(1/2)

a = -2^(1/2)

( a-2^(1/2) )

a-2^(1/2) = 0 // + 2^(1/2)

a = 2^(1/2)

( a )

a = 0

a in { 0, -2^(1/2), 2^(1/2), 0 }

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