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Simplifying 31d2 + 23d + 14 = 0 Reorder the terms: 14 + 23d + 31d2 = 0 Solving 14 + 23d + 31d2 = 0 Solving for variable 'd'. Begin completing the square. Divide all terms by 31 the coefficient of the squared term: Divide each side by '31'. 0.4516129032 + 0.7419354839d + d2 = 0 Move the constant term to the right: Add '-0.4516129032' to each side of the equation. 0.4516129032 + 0.7419354839d + -0.4516129032 + d2 = 0 + -0.4516129032 Reorder the terms: 0.4516129032 + -0.4516129032 + 0.7419354839d + d2 = 0 + -0.4516129032 Combine like terms: 0.4516129032 + -0.4516129032 = 0.0000000000 0.0000000000 + 0.7419354839d + d2 = 0 + -0.4516129032 0.7419354839d + d2 = 0 + -0.4516129032 Combine like terms: 0 + -0.4516129032 = -0.4516129032 0.7419354839d + d2 = -0.4516129032 The d term is 0.7419354839d. Take half its coefficient (0.370967742). Square it (0.1376170656) and add it to both sides. Add '0.1376170656' to each side of the equation. 0.7419354839d + 0.1376170656 + d2 = -0.4516129032 + 0.1376170656 Reorder the terms: 0.1376170656 + 0.7419354839d + d2 = -0.4516129032 + 0.1376170656 Combine like terms: -0.4516129032 + 0.1376170656 = -0.3139958376 0.1376170656 + 0.7419354839d + d2 = -0.3139958376 Factor a perfect square on the left side: (d + 0.370967742)(d + 0.370967742) = -0.3139958376 Can't calculate square root of the right side. The solution to this equation could not be determined.
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