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Simplifying 7x2 + 24x + 60 = 0 Reorder the terms: 60 + 24x + 7x2 = 0 Solving 60 + 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'. 8.571428571 + 3.428571429x + x2 = 0 Move the constant term to the right: Add '-8.571428571' to each side of the equation. 8.571428571 + 3.428571429x + -8.571428571 + x2 = 0 + -8.571428571 Reorder the terms: 8.571428571 + -8.571428571 + 3.428571429x + x2 = 0 + -8.571428571 Combine like terms: 8.571428571 + -8.571428571 = 0.000000000 0.000000000 + 3.428571429x + x2 = 0 + -8.571428571 3.428571429x + x2 = 0 + -8.571428571 Combine like terms: 0 + -8.571428571 = -8.571428571 3.428571429x + x2 = -8.571428571 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 = -8.571428571 + 2.938775513 Reorder the terms: 2.938775513 + 3.428571429x + x2 = -8.571428571 + 2.938775513 Combine like terms: -8.571428571 + 2.938775513 = -5.632653058 2.938775513 + 3.428571429x + x2 = -5.632653058 Factor a perfect square on the left side: (x + 1.714285715)(x + 1.714285715) = -5.632653058 Can't calculate square root of the right side. The solution to this equation could not be determined.
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