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Simplifying 7x2 + 13x + 7 = 0 Reorder the terms: 7 + 13x + 7x2 = 0 Solving 7 + 13x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + 1.857142857x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.857142857x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.857142857x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.857142857x + x2 = 0 + -1 1.857142857x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.857142857x + x2 = -1 The x term is 1.857142857x. Take half its coefficient (0.9285714285). Square it (0.8622448978) and add it to both sides. Add '0.8622448978' to each side of the equation. 1.857142857x + 0.8622448978 + x2 = -1 + 0.8622448978 Reorder the terms: 0.8622448978 + 1.857142857x + x2 = -1 + 0.8622448978 Combine like terms: -1 + 0.8622448978 = -0.1377551022 0.8622448978 + 1.857142857x + x2 = -0.1377551022 Factor a perfect square on the left side: (x + 0.9285714285)(x + 0.9285714285) = -0.1377551022 Can't calculate square root of the right side. The solution to this equation could not be determined.
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