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Simplifying 7x2 + 24x + 28 = 0 Reorder the terms: 28 + 24x + 7x2 = 0 Solving 28 + 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'. 4 + 3.428571429x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3.428571429x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3.428571429x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3.428571429x + x2 = 0 + -4 3.428571429x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3.428571429x + x2 = -4 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 = -4 + 2.938775513 Reorder the terms: 2.938775513 + 3.428571429x + x2 = -4 + 2.938775513 Combine like terms: -4 + 2.938775513 = -1.061224487 2.938775513 + 3.428571429x + x2 = -1.061224487 Factor a perfect square on the left side: (x + 1.714285715)(x + 1.714285715) = -1.061224487 Can't calculate square root of the right side. The solution to this equation could not be determined.
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