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Simplifying 121 + 198a6 + 181a12 = 0 Solving 121 + 198a6 + 181a12 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 181 the coefficient of the squared term: Divide each side by '181'. 0.6685082873 + 1.093922652a6 + a12 = 0 Move the constant term to the right: Add '-0.6685082873' to each side of the equation. 0.6685082873 + 1.093922652a6 + -0.6685082873 + a12 = 0 + -0.6685082873 Reorder the terms: 0.6685082873 + -0.6685082873 + 1.093922652a6 + a12 = 0 + -0.6685082873 Combine like terms: 0.6685082873 + -0.6685082873 = 0.0000000000 0.0000000000 + 1.093922652a6 + a12 = 0 + -0.6685082873 1.093922652a6 + a12 = 0 + -0.6685082873 Combine like terms: 0 + -0.6685082873 = -0.6685082873 1.093922652a6 + a12 = -0.6685082873 The a term is 1.093922652a6. Take half its coefficient (0.546961326). Square it (0.2991666921) and add it to both sides. Add '0.2991666921' to each side of the equation. 1.093922652a6 + 0.2991666921 + a12 = -0.6685082873 + 0.2991666921 Reorder the terms: 0.2991666921 + 1.093922652a6 + a12 = -0.6685082873 + 0.2991666921 Combine like terms: -0.6685082873 + 0.2991666921 = -0.3693415952 0.2991666921 + 1.093922652a6 + a12 = -0.3693415952 Factor a perfect square on the left side: (a6 + 0.546961326)(a6 + 0.546961326) = -0.3693415952 Can't calculate square root of the right side. The solution to this equation could not be determined.
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