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Simplifying 7d2 + 5d + 13 = 0 Reorder the terms: 13 + 5d + 7d2 = 0 Solving 13 + 5d + 7d2 = 0 Solving for variable 'd'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.857142857 + 0.7142857143d + d2 = 0 Move the constant term to the right: Add '-1.857142857' to each side of the equation. 1.857142857 + 0.7142857143d + -1.857142857 + d2 = 0 + -1.857142857 Reorder the terms: 1.857142857 + -1.857142857 + 0.7142857143d + d2 = 0 + -1.857142857 Combine like terms: 1.857142857 + -1.857142857 = 0.000000000 0.000000000 + 0.7142857143d + d2 = 0 + -1.857142857 0.7142857143d + d2 = 0 + -1.857142857 Combine like terms: 0 + -1.857142857 = -1.857142857 0.7142857143d + d2 = -1.857142857 The d term is 0.7142857143d. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143d + 0.1275510204 + d2 = -1.857142857 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143d + d2 = -1.857142857 + 0.1275510204 Combine like terms: -1.857142857 + 0.1275510204 = -1.7295918366 0.1275510204 + 0.7142857143d + d2 = -1.7295918366 Factor a perfect square on the left side: (d + 0.3571428572)(d + 0.3571428572) = -1.7295918366 Can't calculate square root of the right side. The solution to this equation could not be determined.
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