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Simplifying 252x2 + 323x + 109 = 0 Reorder the terms: 109 + 323x + 252x2 = 0 Solving 109 + 323x + 252x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 252 the coefficient of the squared term: Divide each side by '252'. 0.4325396825 + 1.281746032x + x2 = 0 Move the constant term to the right: Add '-0.4325396825' to each side of the equation. 0.4325396825 + 1.281746032x + -0.4325396825 + x2 = 0 + -0.4325396825 Reorder the terms: 0.4325396825 + -0.4325396825 + 1.281746032x + x2 = 0 + -0.4325396825 Combine like terms: 0.4325396825 + -0.4325396825 = 0.0000000000 0.0000000000 + 1.281746032x + x2 = 0 + -0.4325396825 1.281746032x + x2 = 0 + -0.4325396825 Combine like terms: 0 + -0.4325396825 = -0.4325396825 1.281746032x + x2 = -0.4325396825 The x term is 1.281746032x. Take half its coefficient (0.640873016). Square it (0.4107182226) and add it to both sides. Add '0.4107182226' to each side of the equation. 1.281746032x + 0.4107182226 + x2 = -0.4325396825 + 0.4107182226 Reorder the terms: 0.4107182226 + 1.281746032x + x2 = -0.4325396825 + 0.4107182226 Combine like terms: -0.4325396825 + 0.4107182226 = -0.0218214599 0.4107182226 + 1.281746032x + x2 = -0.0218214599 Factor a perfect square on the left side: (x + 0.640873016)(x + 0.640873016) = -0.0218214599 Can't calculate square root of the right side. The solution to this equation could not be determined.
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