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Simplifying (x) = 1.1x2 + -726x + 138544 x = 1.1x2 + -726x + 138544 Reorder the terms: x = 138544 + -726x + 1.1x2 Solving x = 138544 + -726x + 1.1x2 Solving for variable 'x'. Reorder the terms: -138544 + x + 726x + -1.1x2 = 138544 + -726x + 1.1x2 + -138544 + 726x + -1.1x2 Combine like terms: x + 726x = 727x -138544 + 727x + -1.1x2 = 138544 + -726x + 1.1x2 + -138544 + 726x + -1.1x2 Reorder the terms: -138544 + 727x + -1.1x2 = 138544 + -138544 + -726x + 726x + 1.1x2 + -1.1x2 Combine like terms: 138544 + -138544 = 0 -138544 + 727x + -1.1x2 = 0 + -726x + 726x + 1.1x2 + -1.1x2 -138544 + 727x + -1.1x2 = -726x + 726x + 1.1x2 + -1.1x2 Combine like terms: -726x + 726x = 0 -138544 + 727x + -1.1x2 = 0 + 1.1x2 + -1.1x2 -138544 + 727x + -1.1x2 = 1.1x2 + -1.1x2 Combine like terms: 1.1x2 + -1.1x2 = 0.0 -138544 + 727x + -1.1x2 = 0.0 Begin completing the square. Divide all terms by -1.1 the coefficient of the squared term: Divide each side by '-1.1'. 125949.0909 + -660.9090909x + x2 = 0 Move the constant term to the right: Add '-125949.0909' to each side of the equation. 125949.0909 + -660.9090909x + -125949.0909 + x2 = 0 + -125949.0909 Reorder the terms: 125949.0909 + -125949.0909 + -660.9090909x + x2 = 0 + -125949.0909 Combine like terms: 125949.0909 + -125949.0909 = 0.0000 0.0000 + -660.9090909x + x2 = 0 + -125949.0909 -660.9090909x + x2 = 0 + -125949.0909 Combine like terms: 0 + -125949.0909 = -125949.0909 -660.9090909x + x2 = -125949.0909 The x term is -660.9090909x. Take half its coefficient (-330.4545455). Square it (109200.2066) and add it to both sides. Add '109200.2066' to each side of the equation. -660.9090909x + 109200.2066 + x2 = -125949.0909 + 109200.2066 Reorder the terms: 109200.2066 + -660.9090909x + x2 = -125949.0909 + 109200.2066 Combine like terms: -125949.0909 + 109200.2066 = -16748.8843 109200.2066 + -660.9090909x + x2 = -16748.8843 Factor a perfect square on the left side: (x + -330.4545455)(x + -330.4545455) = -16748.8843 Can't calculate square root of the right side. The solution to this equation could not be determined.
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