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Simplifying 14x2 + 4x + 27 = 0 Reorder the terms: 27 + 4x + 14x2 = 0 Solving 27 + 4x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.928571429 + 0.2857142857x + x2 = 0 Move the constant term to the right: Add '-1.928571429' to each side of the equation. 1.928571429 + 0.2857142857x + -1.928571429 + x2 = 0 + -1.928571429 Reorder the terms: 1.928571429 + -1.928571429 + 0.2857142857x + x2 = 0 + -1.928571429 Combine like terms: 1.928571429 + -1.928571429 = 0.000000000 0.000000000 + 0.2857142857x + x2 = 0 + -1.928571429 0.2857142857x + x2 = 0 + -1.928571429 Combine like terms: 0 + -1.928571429 = -1.928571429 0.2857142857x + x2 = -1.928571429 The x term is 0.2857142857x. Take half its coefficient (0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. 0.2857142857x + 0.02040816328 + x2 = -1.928571429 + 0.02040816328 Reorder the terms: 0.02040816328 + 0.2857142857x + x2 = -1.928571429 + 0.02040816328 Combine like terms: -1.928571429 + 0.02040816328 = -1.90816326572 0.02040816328 + 0.2857142857x + x2 = -1.90816326572 Factor a perfect square on the left side: (x + 0.1428571429)(x + 0.1428571429) = -1.90816326572 Can't calculate square root of the right side. The solution to this equation could not be determined.
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