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Simplifying 60x + -330 = 11x2 + -11x + 330 Reorder the terms: -330 + 60x = 11x2 + -11x + 330 Reorder the terms: -330 + 60x = 330 + -11x + 11x2 Solving -330 + 60x = 330 + -11x + 11x2 Solving for variable 'x'. Reorder the terms: -330 + -330 + 60x + 11x + -11x2 = 330 + -11x + 11x2 + -330 + 11x + -11x2 Combine like terms: -330 + -330 = -660 -660 + 60x + 11x + -11x2 = 330 + -11x + 11x2 + -330 + 11x + -11x2 Combine like terms: 60x + 11x = 71x -660 + 71x + -11x2 = 330 + -11x + 11x2 + -330 + 11x + -11x2 Reorder the terms: -660 + 71x + -11x2 = 330 + -330 + -11x + 11x + 11x2 + -11x2 Combine like terms: 330 + -330 = 0 -660 + 71x + -11x2 = 0 + -11x + 11x + 11x2 + -11x2 -660 + 71x + -11x2 = -11x + 11x + 11x2 + -11x2 Combine like terms: -11x + 11x = 0 -660 + 71x + -11x2 = 0 + 11x2 + -11x2 -660 + 71x + -11x2 = 11x2 + -11x2 Combine like terms: 11x2 + -11x2 = 0 -660 + 71x + -11x2 = 0 Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. 60 + -6.454545455x + x2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + -6.454545455x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + -6.454545455x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -6.454545455x + x2 = 0 + -60 -6.454545455x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -6.454545455x + x2 = -60 The x term is -6.454545455x. Take half its coefficient (-3.227272728). Square it (10.41528926) and add it to both sides. Add '10.41528926' to each side of the equation. -6.454545455x + 10.41528926 + x2 = -60 + 10.41528926 Reorder the terms: 10.41528926 + -6.454545455x + x2 = -60 + 10.41528926 Combine like terms: -60 + 10.41528926 = -49.58471074 10.41528926 + -6.454545455x + x2 = -49.58471074 Factor a perfect square on the left side: (x + -3.227272728)(x + -3.227272728) = -49.58471074 Can't calculate square root of the right side. The solution to this equation could not be determined.
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