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x in (-oo:+oo)
-6 = (1/2)*x^4 // - (1/2)*x^4
-((1/2)*x^4)-6 = 0
(-1/2)*x^4-6 = 0
-1/2*x^4 = 6 // : -1/2
x^4 = -12
x belongs to the empty set
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