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Simplifying 22x2 + 3.1x + 43 = 0 Reorder the terms: 43 + 3.1x + 22x2 = 0 Solving 43 + 3.1x + 22x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 22 the coefficient of the squared term: Divide each side by '22'. 1.954545455 + 0.1409090909x + x2 = 0 Move the constant term to the right: Add '-1.954545455' to each side of the equation. 1.954545455 + 0.1409090909x + -1.954545455 + x2 = 0 + -1.954545455 Reorder the terms: 1.954545455 + -1.954545455 + 0.1409090909x + x2 = 0 + -1.954545455 Combine like terms: 1.954545455 + -1.954545455 = 0.000000000 0.000000000 + 0.1409090909x + x2 = 0 + -1.954545455 0.1409090909x + x2 = 0 + -1.954545455 Combine like terms: 0 + -1.954545455 = -1.954545455 0.1409090909x + x2 = -1.954545455 The x term is 0.1409090909x. Take half its coefficient (0.07045454545). Square it (0.004963842975) and add it to both sides. Add '0.004963842975' to each side of the equation. 0.1409090909x + 0.004963842975 + x2 = -1.954545455 + 0.004963842975 Reorder the terms: 0.004963842975 + 0.1409090909x + x2 = -1.954545455 + 0.004963842975 Combine like terms: -1.954545455 + 0.004963842975 = -1.949581612025 0.004963842975 + 0.1409090909x + x2 = -1.949581612025 Factor a perfect square on the left side: (x + 0.07045454545)(x + 0.07045454545) = -1.949581612025 Can't calculate square root of the right side. The solution to this equation could not be determined.
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