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Simplifying 11x2 + -31x + 54 = 0 Reorder the terms: 54 + -31x + 11x2 = 0 Solving 54 + -31x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 4.909090909 + -2.818181818x + x2 = 0 Move the constant term to the right: Add '-4.909090909' to each side of the equation. 4.909090909 + -2.818181818x + -4.909090909 + x2 = 0 + -4.909090909 Reorder the terms: 4.909090909 + -4.909090909 + -2.818181818x + x2 = 0 + -4.909090909 Combine like terms: 4.909090909 + -4.909090909 = 0.000000000 0.000000000 + -2.818181818x + x2 = 0 + -4.909090909 -2.818181818x + x2 = 0 + -4.909090909 Combine like terms: 0 + -4.909090909 = -4.909090909 -2.818181818x + x2 = -4.909090909 The x term is -2.818181818x. Take half its coefficient (-1.409090909). Square it (1.985537190) and add it to both sides. Add '1.985537190' to each side of the equation. -2.818181818x + 1.985537190 + x2 = -4.909090909 + 1.985537190 Reorder the terms: 1.985537190 + -2.818181818x + x2 = -4.909090909 + 1.985537190 Combine like terms: -4.909090909 + 1.985537190 = -2.923553719 1.985537190 + -2.818181818x + x2 = -2.923553719 Factor a perfect square on the left side: (x + -1.409090909)(x + -1.409090909) = -2.923553719 Can't calculate square root of the right side. The solution to this equation could not be determined.
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