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Simplifying -3a4 + 5a2 + -9 = 0 Reorder the terms: -9 + 5a2 + -3a4 = 0 Solving -9 + 5a2 + -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'. 3 + -1.666666667a2 + a4 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.666666667a2 + -3 + a4 = 0 + -3 Reorder the terms: 3 + -3 + -1.666666667a2 + a4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.666666667a2 + a4 = 0 + -3 -1.666666667a2 + a4 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.666666667a2 + a4 = -3 The a term is -1.666666667a2. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667a2 + 0.6944444447 + a4 = -3 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667a2 + a4 = -3 + 0.6944444447 Combine like terms: -3 + 0.6944444447 = -2.3055555553 0.6944444447 + -1.666666667a2 + a4 = -2.3055555553 Factor a perfect square on the left side: (a2 + -0.8333333335)(a2 + -0.8333333335) = -2.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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