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Simplifying 7x2 + -27x + 52 = 0 Reorder the terms: 52 + -27x + 7x2 = 0 Solving 52 + -27x + 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'. 7.428571429 + -3.857142857x + x2 = 0 Move the constant term to the right: Add '-7.428571429' to each side of the equation. 7.428571429 + -3.857142857x + -7.428571429 + x2 = 0 + -7.428571429 Reorder the terms: 7.428571429 + -7.428571429 + -3.857142857x + x2 = 0 + -7.428571429 Combine like terms: 7.428571429 + -7.428571429 = 0.000000000 0.000000000 + -3.857142857x + x2 = 0 + -7.428571429 -3.857142857x + x2 = 0 + -7.428571429 Combine like terms: 0 + -7.428571429 = -7.428571429 -3.857142857x + x2 = -7.428571429 The x term is -3.857142857x. Take half its coefficient (-1.928571429). Square it (3.719387757) and add it to both sides. Add '3.719387757' to each side of the equation. -3.857142857x + 3.719387757 + x2 = -7.428571429 + 3.719387757 Reorder the terms: 3.719387757 + -3.857142857x + x2 = -7.428571429 + 3.719387757 Combine like terms: -7.428571429 + 3.719387757 = -3.709183672 3.719387757 + -3.857142857x + x2 = -3.709183672 Factor a perfect square on the left side: (x + -1.928571429)(x + -1.928571429) = -3.709183672 Can't calculate square root of the right side. The solution to this equation could not be determined.
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