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Simplifying 30x2 + x + 31 = 0 Reorder the terms: 31 + x + 30x2 = 0 Solving 31 + x + 30x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 1.033333333 + 0.03333333333x + x2 = 0 Move the constant term to the right: Add '-1.033333333' to each side of the equation. 1.033333333 + 0.03333333333x + -1.033333333 + x2 = 0 + -1.033333333 Reorder the terms: 1.033333333 + -1.033333333 + 0.03333333333x + x2 = 0 + -1.033333333 Combine like terms: 1.033333333 + -1.033333333 = 0.000000000 0.000000000 + 0.03333333333x + x2 = 0 + -1.033333333 0.03333333333x + x2 = 0 + -1.033333333 Combine like terms: 0 + -1.033333333 = -1.033333333 0.03333333333x + x2 = -1.033333333 The x term is x. 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. 0.03333333333x + 0.25 + x2 = -1.033333333 + 0.25 Reorder the terms: 0.25 + 0.03333333333x + x2 = -1.033333333 + 0.25 Combine like terms: -1.033333333 + 0.25 = -0.783333333 0.25 + 0.03333333333x + x2 = -0.783333333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.783333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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