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Simplifying 11x2 + -43x + 72 = 0 Reorder the terms: 72 + -43x + 11x2 = 0 Solving 72 + -43x + 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'. 6.545454545 + -3.909090909x + x2 = 0 Move the constant term to the right: Add '-6.545454545' to each side of the equation. 6.545454545 + -3.909090909x + -6.545454545 + x2 = 0 + -6.545454545 Reorder the terms: 6.545454545 + -6.545454545 + -3.909090909x + x2 = 0 + -6.545454545 Combine like terms: 6.545454545 + -6.545454545 = 0.000000000 0.000000000 + -3.909090909x + x2 = 0 + -6.545454545 -3.909090909x + x2 = 0 + -6.545454545 Combine like terms: 0 + -6.545454545 = -6.545454545 -3.909090909x + x2 = -6.545454545 The x term is -3.909090909x. Take half its coefficient (-1.954545455). Square it (3.820247936) and add it to both sides. Add '3.820247936' to each side of the equation. -3.909090909x + 3.820247936 + x2 = -6.545454545 + 3.820247936 Reorder the terms: 3.820247936 + -3.909090909x + x2 = -6.545454545 + 3.820247936 Combine like terms: -6.545454545 + 3.820247936 = -2.725206609 3.820247936 + -3.909090909x + x2 = -2.725206609 Factor a perfect square on the left side: (x + -1.954545455)(x + -1.954545455) = -2.725206609 Can't calculate square root of the right side. The solution to this equation could not be determined.
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