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Simplifying 7x2 + -24x + 104 = 0 Reorder the terms: 104 + -24x + 7x2 = 0 Solving 104 + -24x + 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'. 14.85714286 + -3.428571429x + x2 = 0 Move the constant term to the right: Add '-14.85714286' to each side of the equation. 14.85714286 + -3.428571429x + -14.85714286 + x2 = 0 + -14.85714286 Reorder the terms: 14.85714286 + -14.85714286 + -3.428571429x + x2 = 0 + -14.85714286 Combine like terms: 14.85714286 + -14.85714286 = 0.00000000 0.00000000 + -3.428571429x + x2 = 0 + -14.85714286 -3.428571429x + x2 = 0 + -14.85714286 Combine like terms: 0 + -14.85714286 = -14.85714286 -3.428571429x + x2 = -14.85714286 The x term is -3.428571429x. Take half its coefficient (-1.714285715). Square it (2.938775513) and add it to both sides. Add '2.938775513' to each side of the equation. -3.428571429x + 2.938775513 + x2 = -14.85714286 + 2.938775513 Reorder the terms: 2.938775513 + -3.428571429x + x2 = -14.85714286 + 2.938775513 Combine like terms: -14.85714286 + 2.938775513 = -11.918367347 2.938775513 + -3.428571429x + x2 = -11.918367347 Factor a perfect square on the left side: (x + -1.714285715)(x + -1.714285715) = -11.918367347 Can't calculate square root of the right side. The solution to this equation could not be determined.
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