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Simplifying 3a4 + 3a2 + 8 = 0 Reorder the terms: 8 + 3a2 + 3a4 = 0 Solving 8 + 3a2 + 3a4 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2.666666667 + a2 + a4 = 0 Move the constant term to the right: Add '-2.666666667' to each side of the equation. 2.666666667 + a2 + -2.666666667 + a4 = 0 + -2.666666667 Reorder the terms: 2.666666667 + -2.666666667 + a2 + a4 = 0 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + a2 + a4 = 0 + -2.666666667 a2 + a4 = 0 + -2.666666667 Combine like terms: 0 + -2.666666667 = -2.666666667 a2 + a4 = -2.666666667 The a term is a2. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + a4 = -2.666666667 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + a4 = -2.666666667 + 0.25 Combine like terms: -2.666666667 + 0.25 = -2.416666667 1.25 + a4 = -2.416666667 Factor a perfect square on the left side: (a2 + 0.5)(a2 + 0.5) = -2.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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