a^4/2a^2-4a^4

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


a in (-oo:+oo)

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

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

1/2*a^6-4*a^4 = 0

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

1/2*a^2 = 4 // : 1/2

a^2 = 8

a^2 = 8 // ^ 1/2

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

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

a^4 = 0

1*a^4 = 0 // : 1

a^4 = 0

a = 0

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

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