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Simplifying 40d2 + 31d + 16 = 0 Reorder the terms: 16 + 31d + 40d2 = 0 Solving 16 + 31d + 40d2 = 0 Solving for variable 'd'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 0.4 + 0.775d + d2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.775d + -0.4 + d2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.775d + d2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.775d + d2 = 0 + -0.4 0.775d + d2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.775d + d2 = -0.4 The d term is 0.775d. Take half its coefficient (0.3875). Square it (0.15015625) and add it to both sides. Add '0.15015625' to each side of the equation. 0.775d + 0.15015625 + d2 = -0.4 + 0.15015625 Reorder the terms: 0.15015625 + 0.775d + d2 = -0.4 + 0.15015625 Combine like terms: -0.4 + 0.15015625 = -0.24984375 0.15015625 + 0.775d + d2 = -0.24984375 Factor a perfect square on the left side: (d + 0.3875)(d + 0.3875) = -0.24984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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