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Simplifying 7x2 + 20x + 82 = 0 Reorder the terms: 82 + 20x + 7x2 = 0 Solving 82 + 20x + 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'. 11.71428571 + 2.857142857x + x2 = 0 Move the constant term to the right: Add '-11.71428571' to each side of the equation. 11.71428571 + 2.857142857x + -11.71428571 + x2 = 0 + -11.71428571 Reorder the terms: 11.71428571 + -11.71428571 + 2.857142857x + x2 = 0 + -11.71428571 Combine like terms: 11.71428571 + -11.71428571 = 0.00000000 0.00000000 + 2.857142857x + x2 = 0 + -11.71428571 2.857142857x + x2 = 0 + -11.71428571 Combine like terms: 0 + -11.71428571 = -11.71428571 2.857142857x + x2 = -11.71428571 The x term is 2.857142857x. Take half its coefficient (1.428571429). Square it (2.040816328) and add it to both sides. Add '2.040816328' to each side of the equation. 2.857142857x + 2.040816328 + x2 = -11.71428571 + 2.040816328 Reorder the terms: 2.040816328 + 2.857142857x + x2 = -11.71428571 + 2.040816328 Combine like terms: -11.71428571 + 2.040816328 = -9.673469382 2.040816328 + 2.857142857x + x2 = -9.673469382 Factor a perfect square on the left side: (x + 1.428571429)(x + 1.428571429) = -9.673469382 Can't calculate square root of the right side. The solution to this equation could not be determined.
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