z3/4-z1/2=0

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Solution for z3/4-z1/2=0 equation: 


z in (-oo:+oo)

(z^3)/4-((z^1)/2) = 0

(z^3)/4-(z/2) = 0

1/4*z^3-1/2*z = 0

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

1/2*z^2 = 1 // : 1/2

z^2 = 2

z^2 = 2 // ^ 1/2

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

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

z/2 = 0

1/2*z = 0 // : 1/2

z = 0

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

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