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Simplifying 7x2 + 67x + 8648 = 0 Reorder the terms: 8648 + 67x + 7x2 = 0 Solving 8648 + 67x + 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'. 1235.428571 + 9.571428571x + x2 = 0 Move the constant term to the right: Add '-1235.428571' to each side of the equation. 1235.428571 + 9.571428571x + -1235.428571 + x2 = 0 + -1235.428571 Reorder the terms: 1235.428571 + -1235.428571 + 9.571428571x + x2 = 0 + -1235.428571 Combine like terms: 1235.428571 + -1235.428571 = 0.000000 0.000000 + 9.571428571x + x2 = 0 + -1235.428571 9.571428571x + x2 = 0 + -1235.428571 Combine like terms: 0 + -1235.428571 = -1235.428571 9.571428571x + x2 = -1235.428571 The x term is 9.571428571x. Take half its coefficient (4.785714286). Square it (22.90306123) and add it to both sides. Add '22.90306123' to each side of the equation. 9.571428571x + 22.90306123 + x2 = -1235.428571 + 22.90306123 Reorder the terms: 22.90306123 + 9.571428571x + x2 = -1235.428571 + 22.90306123 Combine like terms: -1235.428571 + 22.90306123 = -1212.52550977 22.90306123 + 9.571428571x + x2 = -1212.52550977 Factor a perfect square on the left side: (x + 4.785714286)(x + 4.785714286) = -1212.52550977 Can't calculate square root of the right side. The solution to this equation could not be determined.
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