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Simplifying 7x2 + 10x + 27 = 0 Reorder the terms: 27 + 10x + 7x2 = 0 Solving 27 + 10x + 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'. 3.857142857 + 1.428571429x + x2 = 0 Move the constant term to the right: Add '-3.857142857' to each side of the equation. 3.857142857 + 1.428571429x + -3.857142857 + x2 = 0 + -3.857142857 Reorder the terms: 3.857142857 + -3.857142857 + 1.428571429x + x2 = 0 + -3.857142857 Combine like terms: 3.857142857 + -3.857142857 = 0.000000000 0.000000000 + 1.428571429x + x2 = 0 + -3.857142857 1.428571429x + x2 = 0 + -3.857142857 Combine like terms: 0 + -3.857142857 = -3.857142857 1.428571429x + x2 = -3.857142857 The x term is 1.428571429x. Take half its coefficient (0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. 1.428571429x + 0.5102040819 + x2 = -3.857142857 + 0.5102040819 Reorder the terms: 0.5102040819 + 1.428571429x + x2 = -3.857142857 + 0.5102040819 Combine like terms: -3.857142857 + 0.5102040819 = -3.3469387751 0.5102040819 + 1.428571429x + x2 = -3.3469387751 Factor a perfect square on the left side: (x + 0.7142857145)(x + 0.7142857145) = -3.3469387751 Can't calculate square root of the right side. The solution to this equation could not be determined.
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